The necessary and sufficient conditions for the existence of a 1-rotational k-cycle system of the complete graph K_v are established. The proof provides an algorithm able to determine, directly and explicitly, an odd k-cycle system of K_v whenever such a system exists.

A complete solution to the existence problem for 1-rotational k-cycle systems of K_v

BURATTI, Marco;
2009

Abstract

The necessary and sufficient conditions for the existence of a 1-rotational k-cycle system of the complete graph K_v are established. The proof provides an algorithm able to determine, directly and explicitly, an odd k-cycle system of K_v whenever such a system exists.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/111124
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