Base classes for graphs and digraphs. Unless otherwise specified, by graph we mean a simple graph that has no self-loops or multiple (parallel) edges. (See the module xbase.py for graph classes XGraph and XDiGraph that allow for self-loops, mutiple edges and arbitrary objects associated with edges.) The following classes are provided: Graph The basic operations common to graph-like classes. DiGraph Operations common to digraphs, a graph with directed edges. Subclass of Graph. An empty graph or digraph is created with - G=Graph() - G=DiGraph() This module implements graphs using data structures based on an adjacency list implemented as a node-centric dictionary of dictionaries. The dictionary contains keys corresponding to the nodes and the values are dictionaries of neighboring node keys with the value None (the Python None type). This allows fast addition, deletion and lookup of nodes and neighbors in large graphs. The underlying datastructure should only be visible in this module. In all other modules, instances of graph-like objects are manipulated solely via the methods defined here and not by acting directly on the datastructure. The following notation is used throughout NetworkX documentation and code: (we use mathematical notation n,v,w,... to indicate a node, v=vertex=node). G,G1,G2,H,etc: Graphs n,n1,n2,u,v,v1,v2: nodes (v stands for vertex=node) nlist,vlist: a list of nodes nbunch: a "bunch" of nodes (vertices). An nbunch is any iterable container of nodes that is not itself a node in the graph. (It can be an iterable or an iterator, e.g. a list, set, graph, file, etc..) e=(n1,n2): an edge (a python "2-tuple") in the Graph and DiGraph classes, also written n1-n2 (if undirected), or n1->n2 (if directed). Note that 3-tuple edges of the form (n1,n2,x) are used in the XGraph and XDiGraph classes. See xbase.py for details on how 2-tuple edges, such as (n1,n2), are translated when 3-tuple edges are expected. For example, if G is an XGraph, then G.add_edge(n1,n2) will add the edge (n1,n2,None), and G.delete_edge(n1,n2) will attempt to delete the edge (n1,n2,None). In the case of multiple edges between nodes n1 and n2, one can use G.delete_multiedge(n1,n2) to delete all edges between n1 and n2. elist: a list of edges (as tuples) ebunch: a bunch of edges (as tuples) an ebunch is any iterable (non-string) container of edge-tuples. (Similar to nbunch, also see add_edge). Warning: - The ordering of objects within an arbitrary nbunch/ebunch can be machine- or implementation-dependent. - Algorithms should treat an arbitrary nbunch/ebunch as once-through-and-exhausted iterable containers. - len(nbunch) and len(ebunch) need not be defined. Methods ======= The Graph class provides rudimentary graph operations: Mutating Graph methods ---------------------- - G.add_node(n), G.add_nodes_from(nbunch) - G.delete_node(n), G.delete_nodes_from(nbunch) - G.add_edge(n1,n2), G.add_edge(e), where e=(u,v) - G.add_edges_from(ebunch) - G.delete_edge(n1,n2), G.delete_edge(e), where e=(u,v) - G.delete_edges_from(ebunch) - G.add_path(nlist) - G.add_cycle(nlist) - G.clear() - G.subgraph(nbunch,inplace=True) Non-mutating Graph methods -------------------------- - len(G) - n in G (equivalent to G.has_node(n)) - G.has_node(n) - G.nodes() - G.nodes_iter() - G.has_edge(n1,n2) - G.edges(), G.edges(n), G.edges(nbunch) - G.edges_iter(), G.edges_iter(n), G.edges_iter(nbunch) - G.neighbors(n) - G[n] (equivalent to G.neighbors(n)) - G.neighbors_iter(n) # iterator over neighbors - G.number_of_nodes() - G.number_of_edges() - G.degree(n), G.degree(nbunch) - G.degree_iter(n), G.degree_iter(nbunch) - G.is_directed() Methods returning a new graph ----------------------------- - G.subgraph(nbunch) - G.subgraph(nbunch,create_using=H) - G.copy() - G.to_undirected() - G.to_directed() Examples ======== Create an empty graph structure (a "null graph") with zero nodes and zero edges. >>> from networkx import * >>> G=Graph() G can be grown in several ways. By adding one node at a time: >>> G.add_node(1) by adding a list of nodes: >>> G.add_nodes_from([2,3]) by using an iterator: >>> G.add_nodes_from(xrange(100,110)) or by adding any nbunch of nodes (see above definition of an nbunch): >>> H=path_graph(10) >>> G.add_nodes_from(H) H can be another graph, or dict, or set, or even a file. Any hashable object (except None) can represent a node, e.g. a Graph, a customized node object, etc. >>> G.add_node(H) G can also be grown by adding one edge at a time: >>> G.add_edge( (1,2) ) by adding a list of edges: >>> G.add_edges_from([(1,2),(1,3)]) or by adding any ebunch of edges (see above definition of an ebunch): >>> G.add_edges_from(H.edges()) There are no complaints when adding existing nodes or edges: >>> G=Graph() >>> G.add_edge([(1,2),(1,3)]) will add new nodes as required.

## Classes | |

class | DiGraph |

class | Graph |

class | NetworkXError |

class | NetworkXException |

## Functions | |

def | _test_suite |

def | degree |

def | degree_histogram |

def | density |

def | edges |

def | edges_iter |

def | is_directed |

def | neighbors |

def | nodes |

def | nodes_iter |

def | number_of_edges |

def | number_of_nodes |

## Variables | |

string | __author__ = """Aric Hagberg (hagberg@lanl.gov)\nPieter Swart (swart@lanl.gov)\nDan Schult(dschult@colgate.edu)""" |

string | __credits__ = """""" |

string | __date__ = "$Date: 2005-06-24 14:16:40 -0600 (Fri, 24 Jun 2005) $" |

string | __revision__ = "$Revision: 1061 $" |

list | nxbase = sys.path[0] |

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