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On a cardinal group invariant related to decompositions of Abelian groups

✍ Scribed by T. O. Banach


Publisher
SP MAIK Nauka/Interperiodica
Year
1996
Tongue
English
Weight
648 KB
Volume
64
Category
Article
ISSN
0001-4346

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Hamiltonian decompositions of Cayley gra
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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