On 3-chromatic distance-regular graphs

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作者
Aart Blokhuis
Andries E. Brouwer
Willem H. Haemers
机构
[1] Technological University Eindhoven,Department of Mathematics
[2] Tilburg University,Department of Econometrics & O.R.
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关键词
Distance-regular graphs; Chromatic number; 05E30; 05C15;
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摘要
We give some necessary conditions for a graph to be 3-chromatic in terms of the spectrum of the adjacency matrix. For all known distance-regular graphs it is determined whether they are 3-chromatic. A start is made with the classification of 3-chromatic distance-regular graphs, and it is shown that such graphs, if not complete 3-partite, must have λ ≤ 1.
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页码:293 / 305
页数:12
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