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; S. L., Wu. - In: JOURNAL OF COMBINATORIAL DESIGNS. - ISSN 1063-8539. - 17:4(2009), pp. 283-293. [10.1002/jcd.20217]
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.File allegati a questo prodotto
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