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A note on the chromatic uniqueness of \(W_ 10\). (English) Zbl 0639.05019
Graph G is chromatically unique if it is the only graph with its chromatic polynomial. X. Xu and N. Li [Discrete Math. 51, 207-212 (1984; Zbl 0547.05032)] showed that wheels of odd order are chromatically unique and conjectured that wheels of even order are not, after showing that \(W_ 8\) is not chromatically unique. The author used a computer search to show that \(W_{10}\) is chromatically unique.
Reviewer: J.Mitchem

MSC:
05C15 Coloring of graphs and hypergraphs
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References:
[1] Cameron, R.E.; Colbourn, C.J.; Read, R.C.; Wormald, N.C., Cataloguing the graphs on 10 vertices, J. graph theory, 9, 551-562, (1985) · Zbl 0664.05055
[2] Xu, S.; Li, N., The chromaticity of wheels, Discrete math., 51, 207-212, (1984) · Zbl 0547.05032
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