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Author Micale, B. ♦ Pennisi, M.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Construction Cyclic Mendelsohn Design ♦ Distinct Element ♦ Wi Th ♦ Automorphism Consisting ♦ Single Cycle ♦ Mendelsohn Design ♦ Ordered Pair
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.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article