@MISC{Micale_constructionsof, author = {B. Micale and M. Pennisi}, title = {CONSTRUCTIONS OF CYCLIC MENDELSOHN DESIGNS}, year = {} }

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Abstract

ABSTRACT. A Mendelsohn design M(k,v) is a pair (V,B) t where IV\=v and B is a set of cyclically ordered k-tuples of distinct elements of V, called blocks, such that every ordered pair of distinct elements of V belongs to exactly one block of B. A M ( k, v) is called cyclic if it has an automorphism consisting of a single cycle of length v. The spectrum of existence of cyclic M(3,v)'s and M(4,v)'s is known. In this paper we prove that in every cyclic M(k,v) wi th k,,2 (mod 4) v is odd, and we give some constructions which allow us to determine the spectrum of cyclic M(k,v)'s for every k such that 5sks8. 1.