Perfect graphs of arbitrarily large clique-chromatic number

Autor: Charbit, Pierre, Penev, Irena, Thomassé, Stéphan, Trotignon, Nicolas
Rok vydání: 2015
Předmět:
Zdroj: Journal of Combinatorial Theory, Series B, 116:456-464, 2016
Druh dokumentu: Working Paper
DOI: 10.1016/j.jctb.2015.09.008
Popis: We prove that there exist perfect graphs of arbitrarily large clique-chromatic number. These graphs can be obtained from cobipartite graphs by repeatedly gluing along cliques. This negatively answers a question raised by Duffus, Sands, Sauer, and Woodrow in [Two-coloring all two-element maximal antichains, J. Combinatorial Theory, Ser. A, 57 (1991), 109-116].
Databáze: arXiv