Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups

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Date

2013

Authors

Alspach, Brian
Çalışkan, Cafer
Kreher, Donald L.

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Publisher

Elsevier Science Bv

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Abstract

In this article we introduce the concept of (p alpha)-switching trees and use it to provide sufficient conditions on the abelian groups G and H for when CAY (G x H
S boolean OR B) is Hamilton-decomposable given that CAY (G
S) is Hamilton-decomposable and B is a basis for H. Applications of this result to elementary abelian groups and Paley graphs are given. (C) 2013 Elsevier B.V. All rights reserved.

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Keywords

Hamilton-decomposable, Cayley graphs, Paley graphs, Abelian groups

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1

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Q3

Scopus Q

Q1

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Volume

313

Issue

13

Start Page

1475

End Page

1489