Intersection Numbers of Kirkman Triple Systems

Abstract

A Steiner triple system of order v (briefly STS(v)) is a pair (X, B) where X is a v-set and B is a collection of 3-subset of X (called triple) such that every pair of distinct elements of X belongs to exactly one triple of B. A Kirkman triple system of order v (briefly KTS(v)) is a Steiner triple system of order v (X, B) together with a partition R of the… (More)
DOI: 10.1006/jcta.1998.2948

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