this post was submitted on 13 Mar 2024
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Graph isomorphism (sopuli.xyz)
submitted 1 year ago* (last edited 1 year ago) by Sibbo@sopuli.xyz to c/askmath
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Definitions

A graph G = (V, E) is a set of nodes V and a set of undirected edges E. An undirected edge is a set of two vertices.

Two graphs G1 = (V1, E1) and G2 = (V2, E2) are isomorph if there is a bijective mapping f from V1 to V2 such that f(E1) = E2. Applying f to E1 means applying it to each node in each edge in E1.

Problem

Is there an algorithm that decides if two arbitrary graphs are isomorphic in polynomial time?

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[–] Feathercrown@lemmy.world 3 points 1 year ago* (last edited 1 year ago) (2 children)

Two graphs G1 = (V1, E1) and G2 = (V2, E2) are isomorph if there is a bijective mapping f from V1 to V2 such that if f(E1) = E2.

If f(E1) = E2 then what?

[–] Feathercrown@lemmy.world 3 points 1 year ago* (last edited 1 year ago) (1 children)

Related:

Is there an algorithm that decides if two arbitrary graphs in polynomial time?

If two arbitrary graphs are what? I assume isomorphic.