Decomposing Steiner Triple Systems Into Four-Line Configurations

Publisher Decomposing Steiner Triple Systems Into Four-Line ConfigurationsThis chapter discusses decompositions of Steiner triple system (STS) into four-line configurations. A Steiner triple system (STS) is a pair (V, B) where V is a v-set of elements, and B is a collection of three-subsets of V called “triples” or “lines” such that every two-subset of V is contained in exactly one triple. The number v = | V | is called the “order” of the STS. …