Generating all the cubic graphs that have a 6-cycle double cover

نویسندگان

Rodrigo S. C. Leão

Valmir Carneiro Barbosa

چکیده

A cycle double cover (CDC) of an undirected graph is a collection of the graph’s cycles such that every edge of the graph belongs to exactly two cycles. We describe a constructive method for generating all the cubic graphs that have a 6-CDC (a CDC in which every cycle has length 6). We also prove that all such graphs have a Hamiltonian cycle.

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