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Isomorphism Using Adjacency Matrix

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26 June 2022


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Isomorphism Using Adjacency Matrix

Abstract

An isomorphism from a graph G to a graph H is a bijection from the vertex set of G to the vertex set of H such that adjacency and non-adjacency are preserved. However, finding such a mapping is also equivalent to find a permutation matrix P such that A = PBP^T where A and B are the adjacency matrices of G and H respectively. We demonstrate how this works with an example.

– Graph Theory FAQs - by Dr. Sarada Herke.


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