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'Approximate current-flow betweenness centrality: K4'
def test_K4(self):
G = nx.complete_graph(4) b = nx.current_flow_betweenness_centrality(G, normalized=False) epsilon = 0.1 ba = approximate_cfbc(G, normalized=False, epsilon=(0.5 * epsilon)) for n in sorted(G): assert_allclose(b[n], ba[n], atol=(epsilon * (len(G) ** 2)))
'Approximate current-flow betweenness centrality: star'
def test_star(self):
G = nx.Graph() nx.add_star(G, ['a', 'b', 'c', 'd']) b = nx.current_flow_betweenness_centrality(G, normalized=True) epsilon = 0.1 ba = approximate_cfbc(G, normalized=True, epsilon=(0.5 * epsilon)) for n in sorted(G): assert_allclose(b[n], ba[n], atol=epsilon)
'Approximate current-flow betweenness centrality: 2d grid'
def test_grid(self):
G = nx.grid_2d_graph(4, 4) b = nx.current_flow_betweenness_centrality(G, normalized=True) epsilon = 0.1 ba = approximate_cfbc(G, normalized=True, epsilon=(0.5 * epsilon)) for n in sorted(G): assert_allclose(b[n], ba[n], atol=epsilon)
'Approximate current-flow betweenness centrality: solvers'
def test_solvers(self):
G = nx.complete_graph(4) epsilon = 0.1 for solver in ['full', 'lu', 'cg']: b = approximate_cfbc(G, normalized=False, solver=solver, epsilon=(0.5 * epsilon)) b_answer = {0: 0.75, 1: 0.75, 2: 0.75, 3: 0.75} for n in sorted(G): assert_allclose(b[n], b_answer[n], atol=epsilon...
'Edge flow betweenness centrality: K4'
def test_K4(self):
G = nx.complete_graph(4) b = edge_current_flow(G, normalized=True) b_answer = dict.fromkeys(G.edges(), 0.25) for ((s, t), v1) in b_answer.items(): v2 = b.get((s, t), b.get((t, s))) assert_almost_equal(v1, v2)
'Edge flow betweenness centrality: K4'
def test_K4_normalized(self):
G = nx.complete_graph(4) b = edge_current_flow(G, normalized=False) b_answer = dict.fromkeys(G.edges(), 0.75) for ((s, t), v1) in b_answer.items(): v2 = b.get((s, t), b.get((t, s))) assert_almost_equal(v1, v2)
'Edge flow betweenness centrality: C4'
def test_C4(self):
G = nx.cycle_graph(4) b = edge_current_flow(G, normalized=False) b_answer = {(0, 1): 1.25, (0, 3): 1.25, (1, 2): 1.25, (2, 3): 1.25} for ((s, t), v1) in b_answer.items(): v2 = b.get((s, t), b.get((t, s))) assert_almost_equal(v1, v2)
'Edge betweenness centrality: P4'
def test_P4(self):
G = nx.path_graph(4) b = edge_current_flow(G, normalized=False) b_answer = {(0, 1): 1.5, (1, 2): 2.0, (2, 3): 1.5} for ((s, t), v1) in b_answer.items(): v2 = b.get((s, t), b.get((t, s))) assert_almost_equal(v1, v2)
'Initialize a graph with edges, name, graph attributes. Parameters data : input graph Data to initialize graph. If data=None (default) an empty graph is created. The data can be an edge list, or any NetworkX graph object. If the corresponding optional Python packages are installed the data can also be a NumPy matrix...
def __init__(self, data=None, **attr):
self.node_dict_factory = ndf = self.node_dict_factory self.adjlist_outer_dict_factory = self.adjlist_outer_dict_factory self.adjlist_inner_dict_factory = self.adjlist_inner_dict_factory self.edge_attr_dict_factory = self.edge_attr_dict_factory self.graph = {} self._node = ndf() self._adj = n...
'Add a single node n and update node attributes. Parameters n : node A node can be any hashable Python object except None. attr : keyword arguments, optional Set or change node attributes using key=value. See Also add_nodes_from Examples >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc >>> G.add_node(1)...
def add_node(self, n, **attr):
if (n not in self._succ): self._succ[n] = self.adjlist_inner_dict_factory() self._pred[n] = self.adjlist_inner_dict_factory() self._node[n] = attr else: self._node[n].update(attr)
'Add multiple nodes. Parameters nodes : iterable container A container of nodes (list, dict, set, etc.). OR A container of (node, attribute dict) tuples. Node attributes are updated using the attribute dict. attr : keyword arguments, optional (default= no attributes) Update attributes for all nodes in nodes. Node attri...
def add_nodes_from(self, nodes, **attr):
for n in nodes: try: if (n not in self._succ): self._succ[n] = self.adjlist_inner_dict_factory() self._pred[n] = self.adjlist_inner_dict_factory() self._node[n] = attr.copy() else: self._node[n].update(attr) exce...
'Remove node n. Removes the node n and all adjacent edges. Attempting to remove a non-existent node will raise an exception. Parameters n : node A node in the graph Raises NetworkXError If n is not in the graph. See Also remove_nodes_from Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>...
def remove_node(self, n):
try: nbrs = self._succ[n] del self._node[n] except KeyError: raise NetworkXError(('The node %s is not in the digraph.' % (n,))) for u in nbrs: del self._pred[u][n] del self._succ[n] for u in self._pred[n]: del self._succ[u][n] del self...
'Remove multiple nodes. Parameters nodes : iterable container A container of nodes (list, dict, set, etc.). If a node in the container is not in the graph it is silently ignored. See Also remove_node Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> e = list(G.nodes()) >>> e [0, 1, 2] ...
def remove_nodes_from(self, nbunch):
for n in nbunch: try: succs = self._succ[n] del self._node[n] for u in succs: del self._pred[u][n] del self._succ[n] for u in self._pred[n]: del self._succ[u][n] del self._pred[n] except KeyError:...
'Add an edge between u and v. The nodes u and v will be automatically added if they are not already in the graph. Edge attributes can be specified with keywords or by directly accessing the edge\'s attribute dictionary. See examples below. Parameters u, v : nodes Nodes can be, for example, strings or numbers. Nodes mus...
def add_edge(self, u, v, **attr):
if (u not in self._succ): self._succ[u] = self.adjlist_inner_dict_factory() self._pred[u] = self.adjlist_inner_dict_factory() self._node[u] = {} if (v not in self._succ): self._succ[v] = self.adjlist_inner_dict_factory() self._pred[v] = self.adjlist_inner_dict_factory() ...
'Add all the edges in ebunch. Parameters ebunch : container of edges Each edge given in the container will be added to the graph. The edges must be given as 2-tuples (u, v) or 3-tuples (u, v, d) where d is a dictionary containing edge data. attr : keyword arguments, optional Edge data (or labels or objects) can be assi...
def add_edges_from(self, ebunch, **attr):
for e in ebunch: ne = len(e) if (ne == 3): (u, v, dd) = e elif (ne == 2): (u, v) = e dd = {} else: raise NetworkXError(('Edge tuple %s must be a 2-tuple or 3-tuple.' % (e,))) if (u not in self._succ): ...
'Remove the edge between u and v. Parameters u, v : nodes Remove the edge between nodes u and v. Raises NetworkXError If there is not an edge between u and v. See Also remove_edges_from : remove a collection of edges Examples >>> G = nx.Graph() # or DiGraph, etc >>> nx.add_path(G, [0, 1, 2, 3]) >>> G.remove_edge(0, 1...
def remove_edge(self, u, v):
try: del self._succ[u][v] del self._pred[v][u] except KeyError: raise NetworkXError(('The edge %s-%s not in graph.' % (u, v)))
'Remove all edges specified in ebunch. Parameters ebunch: list or container of edge tuples Each edge given in the list or container will be removed from the graph. The edges can be: - 2-tuples (u, v) edge between u and v. - 3-tuples (u, v, k) where k is ignored. See Also remove_edge : remove a single edge Notes Will fa...
def remove_edges_from(self, ebunch):
for e in ebunch: (u, v) = e[:2] if ((u in self._succ) and (v in self._succ[u])): del self._succ[u][v] del self._pred[v][u]
'Return True if node u has successor v. This is true if graph has the edge u->v.'
def has_successor(self, u, v):
return ((u in self._succ) and (v in self._succ[u]))
'Return True if node u has predecessor v. This is true if graph has the edge u<-v.'
def has_predecessor(self, u, v):
return ((u in self._pred) and (v in self._pred[u]))
'Return an iterator over successor nodes of n. neighbors() and successors() are the same.'
def successors(self, n):
try: return iter(self._succ[n]) except KeyError: raise NetworkXError(('The node %s is not in the digraph.' % (n,)))
'Return an iterator over predecessor nodes of n.'
def predecessors(self, n):
try: return iter(self._pred[n]) except KeyError: raise NetworkXError(('The node %s is not in the digraph.' % (n,)))
'Return an iterator over the edges. Edges are returned as tuples with optional data in the order (node, neighbor, data). edges(self, nbunch=None, data=False, default=None) Parameters nbunch : iterable container, optional (default= all nodes) A container of nodes. The container will be iterated through once. data : str...
@property def edges(self):
self.__dict__['edges'] = edges = OutEdgeView(self) self.__dict__['out_edges'] = edges return edges
'Return an iterator over the incoming edges. in_edges(self, nbunch=None, data=False, default=None): Parameters nbunch : iterable container, optional (default= all nodes) A container of nodes. The container will be iterated through once. data : string or bool, optional (default=False) The edge attribute returned in 3-t...
@property def in_edges(self):
self.__dict__['in_edges'] = in_edges = InEdgeView(self) return in_edges
'Return an iterator for (node, degree) or degree for single node. degree(self, nbunch=None, weight=None) The node degree is the number of edges adjacent to the node. This function returns the degree for a single node or an iterator for a bunch of nodes or if nothing is passed as argument. Parameters nbunch : iterable c...
@property def degree(self):
self.__dict__['degree'] = degree = DiDegreeView(self) return degree
'Return an iterator for (node, in-degree) or in-degree for single node. in_degree(self, nbunch=None, weight=None) The node in-degree is the number of edges pointing in to the node. This function returns the in-degree for a single node or an iterator for a bunch of nodes or if nothing is passed as argument. Parameters n...
@property def in_degree(self):
self.__dict__['in_degree'] = in_degree = InDegreeView(self) return in_degree
'Return an iterator for (node, out-degree) or out-degree for single node. out_degree(self, nbunch=None, weight=None) The node out-degree is the number of edges pointing out of the node. This function returns the out-degree for a single node or an iterator for a bunch of nodes or if nothing is passed as argument. Parame...
@property def out_degree(self):
self.__dict__['out_degree'] = out_degree = OutDegreeView(self) return out_degree
'Remove all nodes and edges from the graph. This also removes the name, and all graph, node, and edge attributes. Examples >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> G.clear() >>> list(G.nodes()) >>> list(G.edges())'
def clear(self):
self._succ.clear() self._pred.clear() self._node.clear() self.graph.clear()
'Return True if graph is a multigraph, False otherwise.'
def is_multigraph(self):
return False
'Return True if graph is directed, False otherwise.'
def is_directed(self):
return True
'Return a directed copy of the graph. Returns G : DiGraph A deepcopy of the graph. Notes This returns a "deepcopy" of the edge, node, and graph attributes which attempts to completely copy all of the data and references. This is in contrast to the similar D=DiGraph(G) which returns a shallow copy of the data. See the P...
def to_directed(self):
return deepcopy(self)
'Return an undirected representation of the digraph. Parameters reciprocal : bool (optional) If True only keep edges that appear in both directions in the original digraph. Returns G : Graph An undirected graph with the same name and nodes and with edge (u, v, data) if either (u, v, data) or (v, u, data) is in the digr...
def to_undirected(self, reciprocal=False):
H = Graph() H.name = self.name H.add_nodes_from(self) if (reciprocal is True): H.add_edges_from(((u, v, deepcopy(d)) for (u, nbrs) in self.adjacency() for (v, d) in nbrs.items() if (v in self._pred[u]))) else: H.add_edges_from(((u, v, deepcopy(d)) for (u, nbrs) in self.adjacency() fo...
'Return the reverse of the graph. The reverse is a graph with the same nodes and edges but with the directions of the edges reversed. Parameters copy : bool optional (default=True) If True, return a new DiGraph holding the reversed edges. If False, reverse the reverse graph is created using the original graph (this cha...
def reverse(self, copy=True):
if copy: H = self.__class__(name=('Reverse of (%s)' % self.name)) H.add_nodes_from(self) H.add_edges_from(((v, u, deepcopy(d)) for (u, v, d) in self.edges(data=True))) H.graph = deepcopy(self.graph) for n in self._node: H._node[n] = deepcopy(self._node[n]) ...
'Return the subgraph induced on nodes in nbunch. The induced subgraph of the graph contains the nodes in nbunch and the edges between those nodes. Parameters nbunch : list, iterable A container of nodes which will be iterated through once. Returns G : Graph A subgraph of the graph with the same edge attributes. Notes T...
def subgraph(self, nbunch):
bunch = self.nbunch_iter(nbunch) H = self.__class__() for n in bunch: H._node[n] = self._node[n] H_succ = H._succ H_pred = H._pred self_succ = self._succ for n in H: H_succ[n] = H.adjlist_inner_dict_factory() H_pred[n] = H.adjlist_inner_dict_factory() for u in H_s...
'Returns the subgraph induced by the specified edges. The induced subgraph contains each edge in `edges` and each node incident to any one of those edges. Parameters edges : iterable An iterable of edges in this graph. Returns G : Graph An edge-induced subgraph of this graph with the same edge attributes. Notes The gra...
def edge_subgraph(self, edges):
H = self.__class__() succ = self._succ edges = ((u, v) for (u, v) in edges if ((u in succ) and (v in succ[u]))) for (u, v) in edges: if (u not in H.node): H._node[u] = self._node[u] H._pred[u] = H.adjlist_inner_dict_factory() H._succ[u] = H.adjlist_inner_dict_...
'Tests that the subgraph has the correct nodes.'
def test_correct_nodes(self):
assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that the subgraph has the correct edges.'
def test_correct_edges(self):
assert_equal([(0, 1, 0, 'edge010'), (3, 4, 1, 'edge341')], sorted(self.H.edges(keys=True, data='name')))
'Tests that adding a node to the original graph does not affect the nodes of the subgraph.'
def test_add_node(self):
self.G.add_node(5) assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that removing a node in the original graph does not affect the nodes of the subgraph.'
def test_remove_node(self):
self.G.remove_node(0) assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that the node attribute dictionary of the two graphs is the same object.'
def test_node_attr_dict(self):
for v in self.H: assert_equal(self.G.node[v], self.H.node[v]) self.G.node[0]['name'] = 'foo' assert_equal(self.G.node[0], self.H.node[0]) self.H.node[1]['name'] = 'bar' assert_equal(self.G.node[1], self.H.node[1])
'Tests that the edge attribute dictionary of the two graphs is the same object.'
def test_edge_attr_dict(self):
for (u, v, k) in self.H.edges(keys=True): assert_equal(self.G._adj[u][v][k], self.H._adj[u][v][k]) self.G._adj[0][1][0]['name'] = 'foo' assert_equal(self.G._adj[0][1][0]['name'], self.H._adj[0][1][0]['name']) self.H._adj[3][4][1]['name'] = 'bar' assert_equal(self.G._adj[3][4][1]['name'], sel...
'Tests that the graph attribute dictionary of the two graphs is the same object.'
def test_graph_attr_dict(self):
assert_is(self.G.graph, self.H.graph)
'Tests that the subgraph has the correct nodes.'
def test_correct_nodes(self):
assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that the subgraph has the correct edges.'
def test_correct_edges(self):
assert_equal([(0, 1, 'edge01'), (3, 4, 'edge34')], sorted(self.H.edges(data='name')))
'Tests that adding a node to the original graph does not affect the nodes of the subgraph.'
def test_add_node(self):
self.G.add_node(5) assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that removing a node in the original graph does not affect the nodes of the subgraph.'
def test_remove_node(self):
self.G.remove_node(0) assert_equal([0, 1, 3, 4], sorted(self.H.nodes()))
'Tests that the node attribute dictionary of the two graphs is the same object.'
def test_node_attr_dict(self):
for v in self.H: assert_equal(self.G.node[v], self.H.node[v]) self.G.node[0]['name'] = 'foo' assert_equal(self.G.node[0], self.H.node[0]) self.H.node[1]['name'] = 'bar' assert_equal(self.G.node[1], self.H.node[1])
'Tests that the edge attribute dictionary of the two graphs is the same object.'
def test_edge_attr_dict(self):
for (u, v) in self.H.edges(): assert_equal(self.G.edge[(u, v)], self.H.edge[(u, v)]) self.G.edge[(0, 1)]['name'] = 'foo' assert_equal(self.G.edge[(0, 1)]['name'], self.H.edge[(0, 1)]['name']) self.H.edge[(3, 4)]['name'] = 'bar' assert_equal(self.G.edge[(3, 4)]['name'], self.H.edge[(3, 4)]['n...
'Tests that the graph attribute dictionary of the two graphs is the same object.'
def test_graph_attr_dict(self):
assert_is(self.G.graph, self.H.graph)
'Test that nodes are added to predecessors and successors. For more information, see GitHub issue #2370.'
def test_pred_succ(self):
G = nx.DiGraph() G.add_edge(0, 1) H = G.edge_subgraph([(0, 1)]) assert_equal(list(H.predecessors(0)), []) assert_equal(list(H.successors(0)), [1]) assert_equal(list(H.predecessors(1)), [0]) assert_equal(list(H.successors(1)), [])
'Case of no common neighbors.'
def test_custom1(self):
G = nx.Graph() G.add_nodes_from([0, 1]) self.test(G, 0, 1, [])
'Case of equal nodes.'
def test_custom2(self):
G = nx.complete_graph(4) self.test(G, 0, 0, [1, 2, 3])
'Tests that the subgraph has the correct nodes.'
def test_correct_nodes(self):
assert_equal([0, 1, 3, 4], sorted(self.H.nodes))
'Tests that the subgraph has the correct edges.'
def test_correct_edges(self):
assert_equal([(0, 1, 'edge01'), (3, 4, 'edge34')], sorted(self.H.edges(data='name')))
'Tests that adding a node to the original graph does not affect the nodes of the subgraph.'
def test_add_node(self):
self.G.add_node(5) assert_equal([0, 1, 3, 4], sorted(self.H.nodes)) self.G.remove_node(5)
'Tests that removing a node in the original graph removes the nodes of the subgraph.'
def test_remove_node(self):
self.G.remove_node(0) assert_equal([1, 3, 4], sorted(self.H.nodes)) self.G.add_edge(0, 1)
'Tests that the node attribute dictionary of the two graphs is the same object.'
def test_node_attr_dict(self):
for v in self.H: assert_equal(self.G.node[v], self.H.node[v]) self.G.node[0]['name'] = 'foo' assert_equal(self.G.node[0], self.H.node[0]) self.H.node[1]['name'] = 'bar' assert_equal(self.G.node[1], self.H.node[1])
'Tests that the edge attribute dictionary of the two graphs is the same object.'
def test_edge_attr_dict(self):
for (u, v) in self.H.edges(): assert_equal(self.G.edge[(u, v)], self.H.edge[(u, v)]) self.G.edge[(0, 1)]['name'] = 'foo' assert_equal(self.G.edge[(0, 1)]['name'], self.H.edge[(0, 1)]['name']) self.H.edge[(3, 4)]['name'] = 'bar' assert_equal(self.G.edge[(3, 4)]['name'], self.H.edge[(3, 4)]['n...
'Tests that the graph attribute dictionary of the two graphs is the same object.'
def test_graph_attr_dict(self):
assert_is(self.G.graph, self.H.graph)
'Tests that the subgraph cannot change the graph structure'
def test_readonly(self):
assert_raises(nx.NetworkXError, self.H.add_node, 5) assert_raises(nx.NetworkXError, self.H.remove_node, 0) assert_raises(nx.NetworkXError, self.H.add_edge, 5, 6) assert_raises(nx.NetworkXError, self.H.remove_edge, 0, 1)
'Return an unused key for edges between nodes `u` and `v`. The nodes `u` and `v` do not need to be already in the graph. Notes In the standard MultiGraph class the new key is the number of existing edges between `u` and `v` (increased if necessary to ensure unused). The first edge will have key 0, then 1, etc. If an ed...
def new_edge_key(self, u, v):
try: keydict = self._adj[u][v] except KeyError: return 0 key = len(keydict) while (key in keydict): key += 1 return key
'Add an edge between u and v. The nodes u and v will be automatically added if they are not already in the graph. Edge attributes can be specified with keywords or by directly accessing the edge\'s attribute dictionary. See examples below. Parameters u, v : nodes Nodes can be, for example, strings or numbers. Nodes mus...
def add_edge(self, u, v, key=None, **attr):
if (u not in self._adj): self._adj[u] = self.adjlist_inner_dict_factory() self._node[u] = {} if (v not in self._adj): self._adj[v] = self.adjlist_inner_dict_factory() self._node[v] = {} if (key is None): key = self.new_edge_key(u, v) if (v in self._adj[u]): ...
'Add all the edges in ebunch. Parameters ebunch : container of edges Each edge given in the container will be added to the graph. The edges can be: - 2-tuples (u, v) or - 3-tuples (u, v, d) for an edge data dict d, or - 3-tuples (u, v, k) for not iterable key k, or - 4-tuples (u, v, k, d) for an edge with data and key ...
def add_edges_from(self, ebunch, **attr):
keylist = [] for e in ebunch: ne = len(e) if (ne == 4): (u, v, key, dd) = e elif (ne == 3): (u, v, dd) = e key = None elif (ne == 2): (u, v) = e dd = {} key = None else: msg = 'Edge tup...
'Remove an edge between u and v. Parameters u, v : nodes Remove an edge between nodes u and v. key : hashable identifier, optional (default=None) Used to distinguish multiple edges between a pair of nodes. If None remove a single (arbitrary) edge between u and v. Raises NetworkXError If there is not an edge between u a...
def remove_edge(self, u, v, key=None):
try: d = self._adj[u][v] except KeyError: raise NetworkXError(('The edge %s-%s is not in the graph.' % (u, v))) if (key is None): d.popitem() else: try: del d[key] except KeyError: msg = 'The edge %s-%s with ...
'Remove all edges specified in ebunch. Parameters ebunch: list or container of edge tuples Each edge given in the list or container will be removed from the graph. The edges can be: - 2-tuples (u, v) All edges between u and v are removed. - 3-tuples (u, v, key) The edge identified by key is removed. - 4-tuples (u, v, k...
def remove_edges_from(self, ebunch):
for e in ebunch: try: self.remove_edge(*e[:3]) except NetworkXError: pass
'Return True if the graph has an edge between nodes u and v. Parameters u, v : nodes Nodes can be, for example, strings or numbers. key : hashable identifier, optional (default=None) If specified return True only if the edge with key is found. Returns edge_ind : bool True if edge is in the graph, False otherwise. Examp...
def has_edge(self, u, v, key=None):
try: if (key is None): return (v in self._adj[u]) else: return (key in self._adj[u][v]) except KeyError: return False
'Return an iterator over the edges. edges(self, nbunch=None, data=False, keys=False, default=None) Edges are returned as tuples with optional data and keys in the order (node, neighbor, key, data). Parameters nbunch : iterable container, optional (default= all nodes) A container of nodes. The container will be iterate...
@property def edges(self):
self.__dict__['edges'] = edges = MultiEdgeView(self) return edges
'Return the attribute dictionary associated with edge (u, v). Parameters u, v : nodes default : any Python object (default=None) Value to return if the edge (u, v) is not found. key : hashable identifier, optional (default=None) Return data only for the edge with specified key. Returns edge_dict : dictionary The edge ...
def get_edge_data(self, u, v, key=None, default=None):
try: if (key is None): return self._adj[u][v] else: return self._adj[u][v][key] except KeyError: return default
'Return an iterator for (node, degree) or degree for single node. degree(self, nbunch=None, weight=None) The node degree is the number of edges adjacent to the node. This function returns the degree for a single node or an iterator for a bunch of nodes or if nothing is passed as argument. Parameters nbunch : iterable c...
@property def degree(self):
self.__dict__['degree'] = degree = MultiDegreeView(self) return degree
'Return True if graph is a multigraph, False otherwise.'
def is_multigraph(self):
return True
'Return True if graph is directed, False otherwise.'
def is_directed(self):
return False
'Return a directed representation of the graph. Returns G : MultiDiGraph A directed graph with the same name, same nodes, and with each edge (u, v, data) replaced by two directed edges (u, v, data) and (v, u, data). Notes This returns a "deepcopy" of the edge, node, and graph attributes which attempts to completely cop...
def to_directed(self):
from networkx.classes.multidigraph import MultiDiGraph G = MultiDiGraph() G.add_nodes_from(self) G.add_edges_from(((u, v, key, deepcopy(datadict)) for (u, nbrs) in self.adjacency() for (v, keydict) in nbrs.items() for (key, datadict) in keydict.items())) G.graph = deepcopy(self.graph) G._node = ...
'Return a list of selfloop edges. A selfloop edge has the same node at both ends. Parameters data : bool, optional (default=False) Return selfloop edges as two tuples (u, v) (data=False) or three-tuples (u, v, datadict) (data=True) or three-tuples (u, v, datavalue) (data=\'attrname\') default : value, optional (default...
def selfloop_edges(self, data=False, keys=False, default=None):
if (data is True): if keys: return ((n, n, k, d) for (n, nbrs) in self._adj.items() if (n in nbrs) for (k, d) in nbrs[n].items()) else: return ((n, n, d) for (n, nbrs) in self._adj.items() if (n in nbrs) for d in nbrs[n].values()) elif (data is not False): if keys...
'Return the number of edges between two nodes. Parameters u, v : nodes, optional (default=all edges) If u and v are specified, return the number of edges between u and v. Otherwise return the total number of all edges. Returns nedges : int The number of edges in the graph. If nodes `u` and `v` are specified return the...
def number_of_edges(self, u=None, v=None):
if (u is None): return self.size() try: edgedata = self._adj[u][v] except KeyError: return 0 return len(edgedata)
'Return the subgraph induced on nodes in nbunch. The induced subgraph of the graph contains the nodes in nbunch and the edges between those nodes. Parameters nbunch : list, iterable A container of nodes which will be iterated through once. Returns G : Graph A subgraph of the graph with the same edge attributes. Notes T...
def subgraph(self, nbunch):
bunch = self.nbunch_iter(nbunch) H = self.__class__() for n in bunch: H._node[n] = self._node[n] H_adj = H._adj self_adj = self._adj for n in H: Hnbrs = H.adjlist_inner_dict_factory() H_adj[n] = Hnbrs for (nbr, edgedict) in self_adj[n].items(): if (nbr...
'Returns the subgraph induced by the specified edges. The induced subgraph contains each edge in `edges` and each node incident to any one of those edges. Parameters edges : iterable An iterable of edges in this graph. Returns G : Graph An edge-induced subgraph of this graph with the same edge attributes. Notes The gra...
def edge_subgraph(self, edges):
H = self.__class__() adj = self._adj def is_in_graph(u, v, k): return ((u in adj) and (v in adj[u]) and (k in adj[u][v])) edges = (e for e in edges if is_in_graph(*e)) for (u, v, k) in edges: if (u not in H._node): H._node[u] = self._node[u] H._adj[u] = H.adjl...
'Initialize a graph with edges, name, graph attributes. Parameters data : input graph Data to initialize graph. If data=None (default) an empty graph is created. The data can be an edge list, or any NetworkX graph object. If the corresponding optional Python packages are installed the data can also be a NumPy matrix...
def __init__(self, data=None, **attr):
self.node_dict_factory = ndf = self.node_dict_factory self.adjlist_outer_dict_factory = self.adjlist_outer_dict_factory self.adjlist_inner_dict_factory = self.adjlist_inner_dict_factory self.edge_attr_dict_factory = self.edge_attr_dict_factory self.graph = {} self._node = ndf() self._adj = s...
'Return the graph name. Returns name : string The name of the graph. Examples >>> G = nx.Graph(name=\'foo\') >>> str(G) \'foo\''
def __str__(self):
return self.name
'Iterate over the nodes. Use the expression \'for n in G\'. Returns niter : iterator An iterator over all nodes in the graph. Examples >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> [n for n in G] [0, 1, 2, 3]'
def __iter__(self):
return iter(self._node)
'Return True if n is a node, False otherwise. Use the expression \'n in G\'. Examples >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> 1 in G True'
def __contains__(self, n):
try: return (n in self._node) except TypeError: return False
'Return the number of nodes. Use the expression \'len(G)\'. Returns nnodes : int The number of nodes in the graph. Examples >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> len(G) 4'
def __len__(self):
return len(self._node)
'Return a dict of neighbors of node n. Use the expression \'G[n]\'. Parameters n : node A node in the graph. Returns adj_dict : dictionary The adjacency dictionary for nodes connected to n. Notes G[n] is similar to G.neighbors(n) but the internal data dictionary is returned instead of an iterator. Assigning G[n] will ...
def __getitem__(self, n):
return self.adj[n]
'Add a single node n and update node attributes. Parameters n : node A node can be any hashable Python object except None. attr : keyword arguments, optional Set or change node attributes using key=value. See Also add_nodes_from Examples >>> G = nx.Graph() # or DiGraph, MultiGraph, MultiDiGraph, etc >>> G.add_node(1) ...
def add_node(self, n, **attr):
if (n not in self._node): self._adj[n] = self.adjlist_inner_dict_factory() self._node[n] = attr else: self._node[n].update(attr)
'Add multiple nodes. Parameters nodes : iterable container A container of nodes (list, dict, set, etc.). OR A container of (node, attribute dict) tuples. Node attributes are updated using the attribute dict. attr : keyword arguments, optional (default= no attributes) Update attributes for all nodes in nodes. Node attri...
def add_nodes_from(self, nodes, **attr):
for n in nodes: try: if (n not in self._node): self._adj[n] = self.adjlist_inner_dict_factory() self._node[n] = attr.copy() else: self._node[n].update(attr) except TypeError: (nn, ndict) = n if (nn not in...
'Remove node n. Removes the node n and all adjacent edges. Attempting to remove a non-existent node will raise an exception. Parameters n : node A node in the graph Raises NetworkXError If n is not in the graph. See Also remove_nodes_from Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>...
def remove_node(self, n):
adj = self._adj try: nbrs = list(adj[n]) del self._node[n] except KeyError: raise NetworkXError(('The node %s is not in the graph.' % (n,))) for u in nbrs: del adj[u][n] del adj[n]
'Remove multiple nodes. Parameters nodes : iterable container A container of nodes (list, dict, set, etc.). If a node in the container is not in the graph it is silently ignored. See Also remove_node Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> e = list(G.nodes()) >>> e [0, 1, 2] ...
def remove_nodes_from(self, nodes):
adj = self._adj for n in nodes: try: del self._node[n] for u in list(adj[n]): del adj[u][n] del adj[n] except KeyError: pass
'A NodeView of the Graph as G.nodes or G.nodes(). Can be used as `G.nodes` for data lookup and for set-like operations. Can also be used as `G.nodes(data=False, default=None)` to return a NodeDataView which allows control over node data but no set operations. Parameters data : string or bool, optional (default=False) T...
@property def nodes(self):
nodes = NodeView(self) self.__dict__['nodes'] = nodes return nodes
'Return the number of nodes in the graph. Returns nnodes : int The number of nodes in the graph. See Also order, __len__ which are identical Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> len(G) 3'
def number_of_nodes(self):
return len(self._node)
'Return the number of nodes in the graph. Returns nnodes : int The number of nodes in the graph. See Also number_of_nodes, __len__ which are identical'
def order(self):
return len(self._node)
'Return True if the graph contains the node n. Parameters n : node Examples >>> G = nx.path_graph(3) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> G.has_node(0) True It is more readable and simpler to use >>> 0 in G True'
def has_node(self, n):
try: return (n in self._node) except TypeError: return False
'Add an edge between u and v. The nodes u and v will be automatically added if they are not already in the graph. Edge attributes can be specified with keywords or by directly accessing the edge\'s attribute dictionary. See examples below. Parameters u, v : nodes Nodes can be, for example, strings or numbers. Nodes mus...
def add_edge(self, u, v, **attr):
if (u not in self._node): self._adj[u] = self.adjlist_inner_dict_factory() self._node[u] = {} if (v not in self._node): self._adj[v] = self.adjlist_inner_dict_factory() self._node[v] = {} datadict = self._adj[u].get(v, self.edge_attr_dict_factory()) datadict.update(attr) ...
'Add all the edges in ebunch. Parameters ebunch : container of edges Each edge given in the container will be added to the graph. The edges must be given as as 2-tuples (u, v) or 3-tuples (u, v, d) where d is a dictionary containing edge data. attr : keyword arguments, optional Edge data (or labels or objects) can be a...
def add_edges_from(self, ebunch, **attr):
for e in ebunch: ne = len(e) if (ne == 3): (u, v, dd) = e elif (ne == 2): (u, v) = e dd = {} else: raise NetworkXError(('Edge tuple %s must be a 2-tuple or 3-tuple.' % (e,))) if (u not in self._node): ...
'Add all the edges in ebunch as weighted edges with specified weights. Parameters ebunch : container of edges Each edge given in the list or container will be added to the graph. The edges must be given as 3-tuples (u, v, w) where w is a number. weight : string, optional (default= \'weight\') The attribute name for the...
def add_weighted_edges_from(self, ebunch, weight='weight', **attr):
self.add_edges_from(((u, v, {weight: d}) for (u, v, d) in ebunch), **attr)
'Remove the edge between u and v. Parameters u, v : nodes Remove the edge between nodes u and v. Raises NetworkXError If there is not an edge between u and v. See Also remove_edges_from : remove a collection of edges Examples >>> G = nx.path_graph(4) # or DiGraph, etc >>> G.remove_edge(0, 1) >>> e = (1, 2) >>> G.remov...
def remove_edge(self, u, v):
try: del self._adj[u][v] if (u != v): del self._adj[v][u] except KeyError: raise NetworkXError(('The edge %s-%s is not in the graph' % (u, v)))
'Remove all edges specified in ebunch. Parameters ebunch: list or container of edge tuples Each edge given in the list or container will be removed from the graph. The edges can be: - 2-tuples (u, v) edge between u and v. - 3-tuples (u, v, k) where k is ignored. See Also remove_edge : remove a single edge Notes Will fa...
def remove_edges_from(self, ebunch):
adj = self._adj for e in ebunch: (u, v) = e[:2] if ((u in adj) and (v in adj[u])): del adj[u][v] if (u != v): del adj[v][u]
'Return True if the edge (u, v) is in the graph. Parameters u, v : nodes Nodes can be, for example, strings or numbers. Nodes must be hashable (and not None) Python objects. Returns edge_ind : bool True if edge is in the graph, False otherwise. Examples Can be called either using two nodes u, v or edge tuple (u, v) >>>...
def has_edge(self, u, v):
try: return (v in self._adj[u]) except KeyError: return False
'Return an iterator over all neighbors of node n. Parameters n : node A node in the graph Returns neighbors : iterator An iterator over all neighbors of node n Raises NetworkXError If the node n is not in the graph. Examples >>> G = nx.path_graph(4) # or DiGraph, MultiGraph, MultiDiGraph, etc >>> [n for n in G.neighbo...
def neighbors(self, n):
try: return iter(self._adj[n]) except KeyError: raise NetworkXError(('The node %s is not in the graph.' % (n,)))
'An EdgeView of the Graph as G.edges or G.edges(). The EdgeView provides set-like operations on the edge-tuples as well as edge attribute lookup. When called, it also provides an EdgeDataView object which allows control of access to edge attributes (but does not provide set-like operations). Hence, `G.edges[u, v][\'col...
@property def edges(self):
self.__dict__['edges'] = edges = EdgeView(self) return edges
'Return the attribute dictionary associated with edge (u, v). Parameters u, v : nodes default: any Python object (default=None) Value to return if the edge (u, v) is not found. Returns edge_dict : dictionary The edge attribute dictionary. Notes It is faster to use G[u][v]. >>> G = nx.path_graph(4) # or DiGraph, Multi...
def get_edge_data(self, u, v, default=None):
try: return self._adj[u][v] except KeyError: return default
'Return an iterator over (node, adjacency dict) tuples for all nodes. This is the fastest way to look at every edge. For directed graphs, only outgoing adjacencies are included. Returns adj_iter : iterator An iterator over (node, adjacency dictionary) for all nodes in the graph. Examples >>> G = nx.path_graph(4) # or ...
def adjacency(self):
return iter(self._adj.items())
'A DegreeView for the Graph as G.degree or G.degree(). The node degree is the number of edges adjacent to the node. This object provides an iterator for (node, degree) or the degree for a single node. Parameters nbunch : iterable container, optional (default=all nodes) A container of nodes. The container will be itera...
@property def degree(self):
self.__dict__['degree'] = degree = DegreeView(self) return degree