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math.CO2022
Hamiltonicity after reversing the directed edges at a vertex of a Cartesian product
Dave Witte Morris
Let and be directed cycles of length and , with , and let be the digraph that is obtained from the Car…
math.CO2022
Arc-disjoint hamiltonian paths in Cartesian products of directed cycles
Iren Darijani, Babak Miraftab, Dave Witte Morris
We show that if and are directed cycles (of length at least two), then the Cartesian product has two arc-disjoint hamiltonian paths. (This answers a ques…