File:Ore theorem proof.svg

Uploaded by David Eppstein
Upload date 2019-01-14T06:02:28Z
MIME type image/svg+xml
Dimensions 441 × 207 px
File size 2.1 KB

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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Captions

Illustration for the proof of Ore's theorem

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13 January 2019

2,168 byte

image/svg+xml

8b0c972ef8a9780866d995a61cfaa076e99b5578

Category:CC-Zero Category:Hamiltonian paths Category:Self-published work