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Besides its practical importance, the graph isomorphism problem is a curiosity in computational complexity theory as it is one of a very small number of ...
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en.wikipedia.org/wiki/Graph_isomorphism_problem
en.wikipedia.org/wiki/Graph_isomorphism_problem
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In some sense, graph isomorphism is easy in practice except for a set of pathologically difficult graphs that seem to cause all the problems. ...
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mathworld.wolfram.com/IsomorphicGraphs.html
mathworld.wolfram.com/IsomorphicGraphs.html
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There exists no known P algorithm for graph isomorphism testing, although the problem has also not been shown to be NP-complete. ...
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mathworld.wolfram.com/GraphIsomorphism.html
mathworld.wolfram.com/GraphIsomorphism.html
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Isomorphic graphs and pictures ... Two graphs are isomorphic when the vertices of one can be re labeled to match the vertices of the other in a way that preserves adjacency. ... Related to the notion of isomorphic graphs is the fact that a single graph can have lots of different pictures. The ideas are related in two ways:
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www.hamline.edu/~lcopes/SciMathMN/concepts/ciso.html
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When two graphs are isomorphic we consider them to be the same graph. The applet below shows several depictions of the same graph. We shall call it the cube since in one of the depictions it looks like a cube.
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www.utc.edu/~cpmawata/petersen/lesson3.htm
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A graph isomorphism is a bijection between the vertices of two graphs $G$ and $H$ $$f: V(G) \rightarrow V(H)$$ with the property that any two vertices $u$ and $v$ from $G$ are adjacent if and only if $f(u)$ and $f(v)$ ... If an isomorphism can be constructed between two graphs, then we say those graphs are isomorphic.
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planetmath.org/encyclopedia/GraphIsomorphism.html
planetmath.org/encyclopedia/GraphIsomorphism.html
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Professor of Mathematics; ... Non-Isomorphic Graphs ... Hence even though these both have degree sequence 3,3,2,2,2 (and hence the same number of nodes & the same number of edges), these are not isomorphic.
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webspace.ship.edu/deensley/DiscreteMath/nonIsomorphic.h...
webspace.ship.edu/deensley/DiscreteMath/nonIsomorphic.html
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Overview of the Isomorphic Graphs Tool ... Informally, this means that G and H are isomorphic if the nodes of one graph can be rearranged (without breaking or adding any edges) so that the two graphs are identical, ignoring the labels on the nodes.
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webspace.ship.edu/deensley/stealthisapplet/IsomorphicGr...
webspace.ship.edu/deensley/stealthisapplet/IsomorphicGraphs/index.html
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There are various situations in Computer Science in which you need to know if two graphs are isomorphic. For example, one graph may be the specification of a system and the other a possible implementation. The isomorphism would then establish the correctness of the implementation.
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www.adolphus.me.uk/Maths_Comp1/chap5/sec_55/551.htm
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