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Specialized Block-Colourings of Steiner Triple Systems and the Upper Chromatic Index

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Abstract.

Specialized block-colourings of Steiner triple systems, in which the blocks incident at each point have a restricted colour pattern, are examined. Valid block-colourings, in which every element is incident to at least two blocks of the same colour, and to at least two blocks of different colours, are shown to exist for all admissible orders and numbers of colours.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Arizona State University, Tempe, AZ, USA

    C.J. Colbourn

  2. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4K1

    A. Rosa

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  1. C.J. Colbourn
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  2. A. Rosa
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Corresponding author

Correspondence to A. Rosa.

Additional information

Acknowledgements. Research of the first author is supported by the U.S. Army Research Office. Research of the second author is supported by NSERC Canada.

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Colbourn, C., Rosa, A. Specialized Block-Colourings of Steiner Triple Systems and the Upper Chromatic Index. Graphs and Combinatorics 19, 335–345 (2003). https://doi.org/10.1007/s00373-002-0506-8

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  • DOI: https://doi.org/10.1007/s00373-002-0506-8

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