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Triangular embeddings of K((i-2) n, n,…,n)

✍ Scribed by Brad Jackson

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
405 KB
Volume
4
Category
Article
ISSN
0364-9024

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✦ Synopsis

Abstract

For complete i‐partite graphs of the form K(n~1~, n, n, …, n) the largest value of n~1~ that allows the graph to be triangularly‐embedded into a surface is (i‐2)n. In this paper the author constructs triangular embeddings into surfaces of some complete partite graphs of the form K((i‐2)n, n, …, n). The embeddings are exhibited using embedding schemes but the surfaces into which K((i‐2)n, n, …, n) are triangularly embedded can be seen to be particularly nice branched covers of a surface into which K(i‐2, 1, 1,…,1) is triangularly embedded.

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