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.
Related videos:
GT09 Graph Isomorphisms - • Graph Theory: 09. Graph Isomorphisms
GT07 Adjacency and Incidence Matrices - • Graph Theory: 07 Adjacency Matrix and Inci...
FAQ Graph Automorphisms - • Graph Theory FAQs: 02. Graph Automorphisms
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - / spoonfulofmaths
Video Production by: Giuseppe Geracitano (goo.gl/O8TURb)