Equitable Specialized Block-Colourings for Steiner Triple Systems |
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| Authors: | Mario Gionfriddo Peter Horák Lorenzo Milazzo Alex Rosa |
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| Affiliation: | (1) University of Catania, Catania, Italy;(2) University of Washington, Tacoma, WA, USA;(3) McMaster University, Hamilton, ON, Canada |
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| Abstract: | We continue the study of specialized block-colourings of Steiner triple systems initiated in [2] in which the triples through any element are coloured according to a given partition π of the replication number. Such colourings are equitable if π is an equitable partition (i.e., the difference between any two parts of π is at most one). Our main results deal with colourings according to equitable partitions into two, and three parts, respectively. |
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| Keywords: | Steiner triple systems block-colourings equitable |
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