If a graph with six vertices is embedded in S², what is the maximum number of edges it can have. Prove your answer and illustrate the maximal case.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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From a topology course, I think the answer is 15 but if you can help prove this that would be wonderful

If a graph with six vertices is embedded in S², what is the maximum number of edges it
can have. Prove your answer and illustrate the maximal case.
Transcribed Image Text:If a graph with six vertices is embedded in S², what is the maximum number of edges it can have. Prove your answer and illustrate the maximal case.
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