Half-chromatic number of graph
Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 1, pp. 3-11.

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The notion of a half-chromatic number is introduced for graphs with a non-empty set of edges. It is proved that the difference between the half-chromatic number and a half of the chromatic number is at most 1. Bibliogr. 5.
Keywords: chromatic number, half-chromatic number, injective coloring.
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V. G. Vizing. Half-chromatic number of graph. Diskretnyj analiz i issledovanie operacij, Tome 20 (2013) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/DA_2013_20_1_a0/

[1] Geri M., Dzhonson D., Vychislitelnye mashiny i trudnoreshaemye zadachi, Mir, M., 1982, 416 pp. | MR

[2] Evstigneev V. A., Kasyanov V. N., Tolkovyi slovar po teorii grafov v informatike i programmirovanii, Nauka, Novosibirsk, 1999, 288 pp. | Zbl

[3] Zykov A. A., Osnovy teorii grafov, Vuzovskaya kniga, M., 2004, 663 pp.

[4] Jensen T. R., Toft B., Graph coloring problems, John Wiley Sons, New York, 1995, 296 pp. | MR | Zbl

[5] Robertson N., Sanders D., Seymour P. D., Thomas R., “The four-colour theorem”, J. Comb. Theory. Ser. B, 70 (1997), 2–44 | DOI | MR | Zbl