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The complexity of comparability graph recognition and coloring. (English) Zbl 0365.05025

05C99 Graph theory
05C15 Coloring of graphs and hypergraphs
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[1] Berge, C.: Graphs and Hypergraphs, Chapter 16. Amsterdam: North-Holland 1973. · Zbl 0254.05101
[2] Even, S., Pnueli, A., Lempel, A.: Permutation graphs and transitive graphs. J. ACM19, 400–410 (1972). · Zbl 0251.05113
[3] Gallai, T.: Transitiv orientierbare Graphen. Acta Math. Acad. Sci. Hung.18, 25–66 (1967). · Zbl 0153.26002
[4] Gavril, F.: Algorithms for minimum coloring, maximum clique, minimum covering by cliques and maximum independent set of a chordal graph. SIAM J. Comp.1, 180–187 (1972). · Zbl 0227.05116
[5] Ghouila-Houri, A.: Caractérisation des graphes nonorientés dont on peut orienter les arêtes de manière à obtenir le graphe d’une relation d’ordre. C. R. Acad. Sci. Paris254, 1370–1371 (1962). · Zbl 0105.35503
[6] Gilmore, P. C., Hoffman, A. J.: A characterization of comparability graphs and of interval graphs. Can. J. Math.16, 539–548 (1964). · Zbl 0121.26003
[7] Golumbic, M. C.: An infinite class of superperfect noncomparability graphs. IBM Research RC 5064 (October 1974).
[8] Golumbic, M. C.: Comparability graphs and a new matroid (extended abstract). Proc. Alg. Aspects of Comb., Univ. of Toronto, January 1975. · Zbl 0317.05023
[9] Golumbic, M. C.: Comparability graphs and a new matroid. J. Comb. Th., SeriesB 22, 68–90 (1977). · Zbl 0352.05023
[10] Pnueli, A., Lempel, A., Even, S.: Transitive orientation of graphs and identification of permutation graphs. Can. J. Math.23, 160–175 (1971). · Zbl 0204.24604
[11] Shevrin, L. N., Filippov, N. D.: Partially ordered sets and their comparability graphs. Siberian Math. J.11, 497–509 (1970). · Zbl 0214.23303
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