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Pancyclicity and Cayley Graphs on Abelian Groups

✍ Scribed by Alspach, Brian; Bendit, Theo; Maitland, Christopher

Book ID
121203090
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
190 KB
Volume
74
Category
Article
ISSN
0364-9024

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Alspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper, the conjecture is shown to be true if S= {sl,sz, s3} is a minimal generating set of A with 1 Al odd, or S={sl,s& . . . . sk} is a genera