Graph Genus Calculator

surface embedding genus

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About Graph Genus Calculator

A graph genus calculator computing γ(G): minimum genus surface for crossing-free embedding. γ=0 → planar. Euler formula: n-m+f=2-2γ. K_5: γ=1 (torus). K_{3,3}: γ=1. Ringel-Youngs: γ(K_n)=⌈(n-3)(n-4)/12⌉. NP-hard in general. Client-side.

Graph Genus Calculator Features

  • γ(G) value
  • Euler formula
  • K_n formula
  • Toroidal
  • Common graphs

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