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On Cayley Graphs of Abelian Groups

✍ Scribed by Cai Heng Li


Book ID
110265659
Publisher
Springer
Year
1998
Tongue
English
Weight
167 KB
Volume
8
Category
Article
ISSN
0925-9899

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πŸ“œ SIMILAR VOLUMES


Hamiltonian decompositions of Cayley gra
✍ Jiuqiang Liu πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 606 KB

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

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Let G be a finite group, S a subset of G=f1g; and let Cay ðG; SÞ denote the Cayley digraph of G with respect to S: If, for any subset T of G=f1g; CayðG; SÞ ffi CayðG; T Þ implies that S a ¼ T for some a 2 AutðGÞ; then S is called a CI-subset. The group G is called a CIM-group if for any minimal gene

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✍ Brian Alspach; Stephen C. Locke; Dave Witte πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 759 KB

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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=[s 1 , s 2 , ..., s k ] is a minimal generating set of an abelian group A of odd order (where a