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math.CO2003
Flows that are sums of hamiltonian cycles in Cayley graphs on abelian groups
Dave Morris, Joy Morris, David P. Moulton
If X is any connected Cayley graph on any finite abelian group, we determine precisely which flows on X can be written as a sum of hamiltonian cycles. (This answers a question of B…
math.CO2001
Hamiltonian Paths in Cartesian Powers of Directed Cycles
David Austin, Heather Gavlas, Dave Witte
The vertex set of the kth cartesian power of a directed cycle of length m can be naturally identified with the set of k-tuples of integers modulo m. For any two vertices v and w of…