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Ultrafilters and Decompositions of Abelian Groups

โœ Scribed by I. V. Protasov


Book ID
110291460
Publisher
Springer
Year
2001
Tongue
English
Weight
136 KB
Volume
53
Category
Article
ISSN
0041-5995

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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