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2009年3月5日 星期四

graph

http://en.wikipedia.org/wiki/Transpose_graph

http://en.wikipedia.org/wiki/Graph_theory

http://blog.ofset.org/~ckhung/b/dm/brgr.php

terminology:

vertex, edge, relation, graph, binary relation

origin, destination, incident vertex, incident edge

adjecency matrix, adjecency link, dense graph, sparse graph

symetric relation, undirected graph

non-symetric relation, directed graph

asymetric relation

antisymetric relation

inverse relation, transpose graph, reverse graph

complement relation, complement graph

http://blog.ofset.org/~ckhung/b/dm/graph.php

successor, predecessor, neighbor

in-degree, out-degree

loop

parallel edges

simple graph

isolated vertex

simple path

b is accessible from a

b is reachable from a

simple cycle

connected, disconnected

connected component

weighted graph

subgraph

spanning tree, minimal spanning tree

spanning forest

directed acyclic graph, DAG

complete graph, Cn取2, Kn = n(n-1)/2

bipartite graph, Kmn = mn

articulation point, bridge

separable graph, non-seperable graph, biconnected graph

maximal biconnected graph, biconnected component

maximal strongly connected graph, maximal strongly connected component

strongly connected component ===> DAG , component ===> Vertex

one-to-one correspondence

isomophism, isomophic graphs, automophism

planar graph

dual graph

Euler's Equation : v-e+r = 2

homeomorphic

http://blog.ofset.org/~ckhung/b/al/graph.php