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Article

Title: Uniquely edge colourable graphs (English)
Author: Bosák, Juraj
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 34
Issue: 2
Year: 1984
Pages: 205-216
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Category: math
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MSC: 05C15
idZBL: Zbl 0599.05023
idMR: MR744955
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Date available: 2009-09-25T09:37:13Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129602
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Related article: http://dml.cz/handle/10338.dmlcz/136370
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Reference: [1] BOLLOBÁS B.: Extremal graph theory.Academic Press, London 1978. MR 0506522
Reference: [2] BOSÁK J.: Hamiltonian lines in cubic graphs.In: Théorie des graphes (Proc. Symp. Rome 1966). Dunod, Paris 1967, 35-46. MR 0221970
Reference: [3] BOSÁK J.: Enumeration of uniquely edge colourable multigraphs.In: Graphs and other combinatorial topics (Proc. Symp. Prague 1982). Teubner, Leipzig 1984, to appear. MR 0737010
Reference: [4] COMTET L.: Analyse combinatoire. I.Press Univ. de France, Paris 1970. MR 0262087
Reference: [5] FIORINI S.: On the chromatic index of a graph. III.Uniwuely edge-colourable graphs. Ouart. J. Math. Oxford (3), 26, 1975, 129-140. Zbl 0312.05104, MR 0371708
Reference: [6] FIORINI S.: Un grafo cubico, non-planare, unicamente tricolorabile, di vita 5.Calcolo 13, 1976, 105-108. Zbl 0339.05104, MR 0450109
Reference: [7] FIORINI S., WILSON R. J.: Edge colourings of graphs.Pitman, London 1977. Zbl 0421.05023, MR 0543798
Reference: [8] GREENWELL D. L., KRONK H. V.: Uniquely line colorable graphs.Canad. Math. Bull. 16 (4), 1973, 525-529. Zbl 0275.05107, MR 0347656
Reference: [9] HALL M., Jr.: Combinatorial theory.Blaisdell, Waltham, Mass. 1967. Zbl 0196.02401, MR 0224481
Reference: [10] IZBICKI H.: Zulässige Kantenfärbungen von pseudo-regulären Graphen 3.Grades mit der Kantenfarbenzahl 3. Monatsh. Math. 66, 1962, 424-430. Zbl 0106.16803, MR 0144333
Reference: [11] IZBICKI H.: Zulässige Kantenfärbungen von pseudo-regulären Graphen mit minimalen Kanten-farbenzahl.Monatsh. Math. 67, 1963, 25-31. MR 0148048
Reference: [12] NINČÁK J.: Hamiltonian circuits in cubic graphs.Comm. Math. Univ. Carol. 15, 1974, 627-630. MR 0354444
Reference: [13] THOMASON A. G.: Hamiltonian cycles and uniquely edge colourable graphs.In: Advances in Graph Theory, Ann. Discr. Math. 3. North-Holland, Amsterdam 1978, 259-268. Zbl 0382.05039, MR 0499124
Reference: [14] THOMASON A. G.: Cubic graphs with three Hamiltonian cycles are not always uniquely edge colorable.J. Graph Theory 6, 1982, 219-221. Zbl 0495.05025, MR 0655209
Reference: [15] TUTTE W. T.: Hamiltonian circuits.In: Colloquio Internazionale sulle Teorie Combinatoire, Atti Convegni Liпcei 17. Accad. Naz. Lincei, Roma 1976, 193-199. Zbl 0347.05110, MR 0480185
Reference: [16] WILSON R. J.: Problem 2.In: Proc. Fifth British Cornbinatorial Conf. Utilitas Math., Winnipeg 1976, 696.
Reference: [17] WILSON R. J.: Edge-colourings of graphs - a survey.In: Theory and applications of graphs (Proc. Conf. Kalamazoo 1976). Springer, Berlin 1978, 608-619. MR 0491306
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