File:Ore theorem proof.svg

Summary

Description
English: In a graph with the Hamiltonian path v1...vn but no Hamiltonian cycle, at most one of the two edges v1vi and vi 1vn (shown as blue dashed curves) can exist. For, if they both exist, then adding them to the path and removing the (red) edge vi 1vi would produce a Hamiltonian cycle.
Date
Source Own work
Author David Eppstein

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Category:CC-Zero#Ore%20theorem%20proof.svgCategory:Self-published work
Category:Hamiltonian paths
Category:CC-Zero Category:Hamiltonian paths Category:Self-published work