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On colourings of Steiner triple systems

Forbes, A.D.; Grannell, M.J. and Griggs, T.S. (2003). On colourings of Steiner triple systems. Discrete Mathematics, 261(1-3) pp. 255–276.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/S0012-365X(02)00473-9
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Abstract

A Steiner triple system, STS(v), is said to be χ-chromatic if the points can be coloured using χ colours, but no fewer, such that no block is monochromatic. All known 3-chromatic STS(v) are also equitably colourable, i.e. there exists a 3-colouring in which the cardinalities of the colour classes differ by at most one. We present examples of 3-chromatic STS(v) which do not admit equitable 3-colourings. We also present further examples of systems with unique and balanced colourings

Item Type: Journal Article
ISSN: 0012-365X
Keywords: Steiner triple system; Chromatic number; Colouring
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 2904
Depositing User: Terry Griggs
Date Deposited: 23 Jun 2006
Last Modified: 02 Dec 2010 19:48
URI: http://oro.open.ac.uk/id/eprint/2904
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