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http://dx.doi.org/10.4134/JKMS.2008.45.5.1243

A CONSTRUCTION OF ONE-FACTORIZATION  

Choi, Yoon-Young (Department of Mathematic Sogang University)
Kim, Sang-Mok (Division of General Education-Mathematics Kwangwoon University)
Lim, Seon-Ju (Department of Mathematics & Statistics Sookmyung Women's University)
Park, Bong-Joo (Combinatorics21)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.5, 2008 , pp. 1243-1253 More about this Journal
Abstract
In this paper, we construct one-factorizations of given complete graphs of even order. These constructions partition the edges of the complete graph into one-factors and triples. Our new constructions of one-factors and triples can be applied to a recursive construction of Steiner triple systems for all possible orders ${\geq}$15.
Keywords
one-factorizations; Steiner triple systems;
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