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Title: Characterizations of graphs having orientations satisfying local degree restrictions (English)
Author: Entringer, Roger C.
Author: Tolman, L. Kirk
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 28
Issue: 1
Year: 1978
Pages: 108-119
Summary lang: Russian
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Category: math
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MSC: 05C99
idZBL: Zbl 0375.05028
idMR: MR0491345
DOI: 10.21136/CMJ.1978.101517
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Date available: 2008-06-09T14:27:13Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101517
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Reference: [1] Laurence R. Alvarez: Undirected graphs realizable as graphs of modular lattices.Canad J. Math. 17 (1965), 923-932; MR 32, 56. MR 0182573, 10.4153/CJM-1965-088-1
Reference: [2] P. Erdos L. Gerencsér, A. Maté: Problems of graph theory concerning optimal design. Combinatorial Theory and its Applications.(P. Erdos, A. Rényi and Vera T. Sos, eds.), North Holland, Amsterdam, 1970; MR 48, 170. MR 0321803
Reference: [3] P. Erdōs: Some unsolved problems in graph theory and combinatorial analysis.Combinatorial Mathematics and its Applications (D. J. A. Welsh, ed.), Academic Press, London, 1971; MR 43, 3125. MR 0277392
Reference: [4] P. Erdōs L. Lovasz A. Simmons, E. G. Straus: Dissection graphs of planar point sets.A Survey of Combinatorial Theory (J. Srivastava et al., eds.). North Holland Publishing Co., Amsterdam, 1973. MR 0363986
Reference: [5] T. Gallai: Transitiv orientierbare graphen.Acta Math. Acad. Sci. Hungar. 18 (1967), 25-66; MR 36, 5026. Zbl 0153.26002, MR 0221974, 10.1007/BF02020961
Reference: [6] T. Gallai: On directed paths and circuits.Theory of Graphs (P. Erdos and G. Katona, eds.), Akadémiai Kiadó, Budapest, 1968; MR 38, 2054. Zbl 0159.54403, MR 0233733
Reference: [7] A. Ghouila-Houri: Characterisation des graphes non orientés dont on peut orienter les arêtes de manière à obtenir le graphe d'une relation d'order.C.R. Acad. Sci. Paris 254 (1962), 1370-1371; MR 30, 2495. MR 0172275
Reference: [8] P. С Gillmore, A. J. Hoffman: A characterization of comparability graphs and of interval graphs.Canad. J. Math. 16 (1964), 539-548; MR 31, 87. MR 0175811, 10.4153/CJM-1964-055-5
Reference: [9] С E. Haff U. S. R. Murty, R. C. Wilton: A note on directed graphs realizable as p.o. sets.Canad. Math. Bull. 13 (1970), 371-374; MR 42, 4444. MR 0269549, 10.4153/CMB-1970-070-6
Reference: [10] S. L. Hakimi: On the degrees of the vertices of a directed graph.J. Franklin Inst. 279 (1965), 290-308; MR 31, 4736. Zbl 0173.26404, MR 0180501, 10.1016/0016-0032(65)90340-6
Reference: [11] F. Harary: Graph Theory.Addison-Wesley, Reading, Mass., 1969; MR 41, 1566. Zbl 0196.27202, MR 0256911
Reference: [12] Frank Harary, Robert Z. Norman, Dorwin Cartwright: Structural Models: An introduction to the theory of directed graphs.New York, Wiley, 1965; MR 32, 2345. MR 0184874
Reference: [13] F. Harary, E. Palmer: On the number of orientations of a given graph.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 125-128; MR 33, 2562. Zbl 0135.42105, MR 0194352
Reference: [14] F. Harary, E. M. Palmer: Graphical Enumeration.Academic Press, New York, 1974. MR 0357214
Reference: [15] Frank Harary, Edgar Palmer, Cedric Smith: Which graphs have only self-converse orientations?.Canad. Math. Bull. 10 (1967), 425-429; MR 35, 2791. MR 0211916, 10.4153/CMB-1967-040-0
Reference: [16] P. W. Kasteleyn: Graph theory and crystal physics.Graph Theory and Theoretical Physics (Frank Harary, ed.), Academic Press, New York, 1967; MR 40, 6903. Zbl 0205.28402, MR 0253689
Reference: [17] A. Lempel: A note on orientation of graphs.Amer. Math. Monthly, 75 (1968), 865-867; MR 38, 3168. Zbl 0179.29202, MR 0234854, 10.2307/2314339
Reference: [18] Charles H. С Little: Kasteleyn's theorem and arbitrary graphs.Canad. J. Math. 25 (1973), 758-764. MR 0327581, 10.4153/CJM-1973-077-1
Reference: [19] K. M. Mosesjan: A minimal graph that is not strongly basable.(Russian), Akad. Nauk Armjan. SSR Dokl. 54 (1972), 8-12; MR 46, 1637. MR 0302493
Reference: [20] J. Mycielski: Sur le colorage des graphes.Colloq. Math. 3 (1955), 161 - 162; MR 16, 1044. MR 0069494, 10.4064/cm-3-2-161-162
Reference: [21] С. St. J. A. Nash-Williams: On orientations, connectivity and odd-vertex-pairings in finite graphs.Canad. J. Math. 12 (1960), 555-567; MR 22, 9455. Zbl 0096.38002, MR 0118684, 10.4153/CJM-1960-049-6
Reference: [22] С St. J. A. Nash-Williams: Well-balanced orientations of finite graphs and unobtrusive odd-vertex-pairings.Recent Progress in Combinatorics (W. T. Tutte, ed.), Academic Press, New York, 1968; MR 40, 7146.
Reference: [23] Oystein Ore: Theory of Graphs, American Mathematical Society.Providence, R.I., 1962; MR 27, 740. MR 0150753
Reference: [24] H. E. Rohbins: A theorem on graphs with an application to a problem of traffic control.Amer. Math. Monthly, 46 (1939), 281-283. MR 1524589, 10.2307/2303897
Reference: [25] E. S. Wölk: The comparability graph of a tree.Proc. Amer. Math. Soc, 13 (1965), 789-795; MR 30, 2493, 2494. MR 0172273
Reference: [26] Bohdan Zelinka: Introducing an orientation into a given non-directed graph.Mat.-Fyz. Časopis Sloven. Akad. Vied, 16 (1966), 66-71; MR 34, 4167. MR 0204325
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