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Oznake: Abelian groups;Cayley digraphs;hamiltonian paths;
We show that if C1 and C2 are directed cycles (of length at least two), then the Cartesian product C1 □ C2 has two arc-disjoint hamiltonian paths. (This answers a question asked by J. A. Gallian in 1985.) The same conclusion also holds for the Cartesian product of any four or more directed cycles (o ...
Leto: 2025 Vir: Repozitorij Univerze na Primorskem (RUP)
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