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Triangulation à \(V_5\) séparée dans le problème des quatre couleurs. (French) Zbl 0344.05113

MSC:

05C15 Coloring of graphs and hypergraphs
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References:

[1] Appel, K.; Haken, W., An unavoidable set of configurations in planar triangulations, J. Combinatorial Theory Ser. B, 26, 1-21 (1979) · Zbl 0407.05035
[2] Appel, K.; Haken, W., The existence of unavoidable sets of geographically good configurations, Illinois J. Math., 20, 218-297 (1976) · Zbl 0322.05141
[3] Birkhoff, G. D., The reducibility of maps, Amer. J. Math., 35, 114-128 (1913) · JFM 44.0568.01
[4] Chojnacki, C., A contribution to the four color problem, Amer. J. Math., 64, 36-54 (1942) · Zbl 0061.41305
[5] Haken, W., An existence theorem for planar maps, J. Combinatorial Theory, 14, 180-184 (1975) · Zbl 0259.05103
[6] Heesch, H., Untersuchungen zum Vierfarbenproblem (1969), B-I-Hochschulscripten 810/810a/810b, Bibliographisches Institut: B-I-Hochschulscripten 810/810a/810b, Bibliographisches Institut Mannheim/Vienna/Zurich · Zbl 0187.20904
[7] Heesch, H., Chromatic reduction of the triangulations \(T_e , e = e_5 + e_7\), J. Combinatorial Theory Ser. B, 19, 119-149 (1975) · Zbl 0242.05110
[8] Kempe, A. B., On the geographical problem of the four colors, Amer. J. Math., 2, 193-200 (1879)
[9] J. Mayer; J. Mayer
[10] Stanik, R., Zur Reduction von Triangulationen, (Dissertation (1974), Technische Universität Hannover)
[11] Stromquist, W., Some Aspects of the Four Color Problem, (Thèse (1975), Harvard University)
[12] Tutte, W.; Whitney, H., Kempe chains and the four color problem, Utilitas Math., 2, 241-281 (1972) · Zbl 0253.05120
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