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On distance-regular Cayley graphs on abelian groups

✍ Scribed by Miklavič, Štefko; Šparl, Primož


Book ID
123204072
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
963 KB
Volume
108
Category
Article
ISSN
0095-8956

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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