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Creator |
80b473f9888b354bf7fee26ec7cc369f |
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Creator |
c63396a7fbb007ccb76080db8037c860 |
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Creator |
ext-bb4a2e9c1b6b0781c6d02f3fd9f7c860 |
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Date |
2003-01 |
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Is Part Of |
p0012365X |
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Is Part Of |
repository |
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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 |
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authorList |
authors |
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issue |
1-3 |
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status |
peerReviewed |
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volume |
261 |
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type |
AcademicArticle |
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type |
Article |
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label |
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. |
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label |
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. |
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Title |
On colourings of Steiner triple systems |
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in dataset |
oro |