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On the uniqueness of decomposition into Cartesian product of curves

✍ Scribed by Michalik, Daria


Book ID
126781205
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
292 KB
Volume
173
Category
Article
ISSN
0166-8641

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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 we generalize a result by Kotzig that the Cartesian product of any two cycles can be decomposed into two hamiltonian cycles and show that