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Hamiltonian decomposition of Cayley graphs of degree 4. (English) Zbl 0618.05032
We prove that any 4-regular connected Cayley graph on a finite abelian group can be decomposed into two hamiltonian cycles. This answers a partial case of Alspach’s conjecture concerning hamiltonian decompositions of 2k-regular connected Cayley graphs. As corollary we obtain the hamiltonian decomposition of 2-jump circulant graphs, called also double loops.

MSC:
05C38 Paths and cycles
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
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