Re: A proposition about graph theory



In article <3vrda5F17hpnuU1@xxxxxxxxxxxxxx>,
José Carlos Santos <jcsantos@xxxxxxxx> wrote:

> ....
> Could someone please tell me where can I find a proof of the proposition
> that says that, in a planar simple graph, there's at least one vertex
> whose degree is not greater than 5? Please don't waste your time posting
> a proof, since what I want is to be able to cite a printed source....


I don't know the origin of it, but here's an elementary text-book
reference:

Robin J. Wilson, "Introduction to Graph Theory," 2nd edition 1979, p.
67, Theorem 13F.

Ken Pledger.
.



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