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The genus of the Cartesian product of two graphs

✍ Scribed by Arthur T White


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
248 KB
Volume
11
Category
Article
ISSN
0095-8956

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✍ TomaΕΎ Pisanski πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 565 KB

## Abstract A special type of surgery developed by A. T. White and later used by the author to construct orientable quadrilateral embeddings of Cartesian products of graphs is here expanded to cover the nonorientable case as well. This enables the nonorientable genus of many families of Cartesian p

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In this article new genus results for the tensor product H @ G are presented. The second factor G in H @ G is a Cayley graph. The imbedding technique used to establish these results combines surgery and voltage graph theory. This technique was first used by A. T. White [171. This imbedding technique