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Prove or disprove

Revision en1, by CopeCope, 2019-03-12 17:20:51

Given graph with $$$N$$$ vertices and there are $$$N*(N-1)/2$$$ edges, each one is either $$$(i,j)$$$ or $$$(j,i)$$$ for every $$$1<=i,j<=N$$$. How to prove or disprove that there is always a path of length $$$N-1$$$(edges) that visits every vertex once

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en1 English CopeCope 2019-03-12 17:20:51 246 Initial revision (published)