Isomorphic Graphs.

An isomorphism between two graphs \(G_1\) and \(G_2\) is a bijection \(f:V_1 \to V_2\) between the vertices of the graphs such that \(\{a,b\}\) is an edge in \(G_1\) if and only if \(\{f(a), f(b)\}\) is an edge in \(G_2\text{.}\)

Two graphs are isomorphic if there is an isomorphism between them. In this case we write \(G_1 \isom G_2\text{.}\)

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