Characterizations of graphs having orientations satisfying local degree restrictions
Roger C. Entringer; L. Kirk Tolman
Czechoslovak Mathematical Journal (1978)
- Volume: 28, Issue: 1, page 108-119
- ISSN: 0011-4642
Access Full Article
topHow to cite
topEntringer, Roger C., and Tolman, L. Kirk. "Characterizations of graphs having orientations satisfying local degree restrictions." Czechoslovak Mathematical Journal 28.1 (1978): 108-119. <http://eudml.org/doc/13048>.
@article{Entringer1978,
author = {Entringer, Roger C., Tolman, L. Kirk},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {108-119},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterizations of graphs having orientations satisfying local degree restrictions},
url = {http://eudml.org/doc/13048},
volume = {28},
year = {1978},
}
TY - JOUR
AU - Entringer, Roger C.
AU - Tolman, L. Kirk
TI - Characterizations of graphs having orientations satisfying local degree restrictions
JO - Czechoslovak Mathematical Journal
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 108
EP - 119
LA - eng
UR - http://eudml.org/doc/13048
ER -
References
top- Laurence R. Alvarez, 10.4153/CJM-1965-088-1, Canad J. Math. 17 (1965), 923-932; MR 32, 56. (1965) MR0182573DOI10.4153/CJM-1965-088-1
- 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. (1970) MR0321803
- 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. (1971) MR0277392
- 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. (1973) MR0363986
- T. Gallai, 10.1007/BF02020961, Acta Math. Acad. Sci. Hungar. 18 (1967), 25-66; MR 36, 5026. (1967) Zbl0153.26002MR0221974DOI10.1007/BF02020961
- T. Gallai, On directed paths and circuits, Theory of Graphs (P. Erdos and G. Katona, eds.), Akadémiai Kiadó, Budapest, 1968; MR 38, 2054. (1968) Zbl0159.54403MR0233733
- 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. (1962) MR0172275
- P. С Gillmore, A. J. Hoffman, 10.4153/CJM-1964-055-5, Canad. J. Math. 16 (1964), 539-548; MR 31, 87. (1964) MR0175811DOI10.4153/CJM-1964-055-5
- С E. Haff U. S. R. Murty, R. C. Wilton, 10.4153/CMB-1970-070-6, Canad. Math. Bull. 13 (1970), 371-374; MR 42, 4444. (1970) MR0269549DOI10.4153/CMB-1970-070-6
- S. L. Hakimi, 10.1016/0016-0032(65)90340-6, J. Franklin Inst. 279 (1965), 290-308; MR 31, 4736. (1965) Zbl0173.26404MR0180501DOI10.1016/0016-0032(65)90340-6
- F. Harary, Graph Theory, Addison-Wesley, Reading, Mass., 1969; MR 41, 1566. (1969) Zbl0196.27202MR0256911
- Frank Harary, Robert Z. Norman, Dorwin Cartwright, Structural Models: An introduction to the theory of directed graphs, New York, Wiley, 1965; MR 32, 2345. (1965) MR0184874
- 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. (1966) Zbl0135.42105MR0194352
- F. Harary, E. M. Palmer, Graphical Enumeration, Academic Press, New York, 1974. (1974) MR0357214
- Frank Harary, Edgar Palmer, Cedric Smith, 10.4153/CMB-1967-040-0, Canad. Math. Bull. 10 (1967), 425-429; MR 35, 2791. (1967) MR0211916DOI10.4153/CMB-1967-040-0
- P. W. Kasteleyn, Graph theory and crystal physics, Graph Theory and Theoretical Physics (Frank Harary, ed.), Academic Press, New York, 1967; MR 40, 6903. (1967) Zbl0205.28402MR0253689
- A. Lempel, 10.2307/2314339, Amer. Math. Monthly, 75 (1968), 865-867; MR 38, 3168. (1968) Zbl0179.29202MR0234854DOI10.2307/2314339
- Charles H. С Little, 10.4153/CJM-1973-077-1, Canad. J. Math. 25 (1973), 758-764. (1973) MR0327581DOI10.4153/CJM-1973-077-1
- K. M. Mosesjan, A minimal graph that is not strongly basable, (Russian), Akad. Nauk Armjan. SSR Dokl. 54 (1972), 8-12; MR 46, 1637. (1972) MR0302493
- J. Mycielski, 10.4064/cm-3-2-161-162, Colloq. Math. 3 (1955), 161 - 162; MR 16, 1044. (1955) MR0069494DOI10.4064/cm-3-2-161-162
- С. St. J. A. Nash-Williams, 10.4153/CJM-1960-049-6, Canad. J. Math. 12 (1960), 555-567; MR 22, 9455. (1960) Zbl0096.38002MR0118684DOI10.4153/CJM-1960-049-6
- 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. (1968)
- Oystein Ore, Theory of Graphs, American Mathematical Society, Providence, R.I., 1962; MR 27, 740. (1962) MR0150753
- H. E. Rohbins, 10.2307/2303897, Amer. Math. Monthly, 46 (1939), 281-283. (1939) MR1524589DOI10.2307/2303897
- E. S. Wölk, The comparability graph of a tree, Proc. Amer. Math. Soc, 13 (1965), 789-795; MR 30, 2493, 2494. (1965) MR0172273
- Bohdan Zelinka, Introducing an orientation into a given non-directed graph, Mat.-Fyz. Časopis Sloven. Akad. Vied, 16 (1966), 66-71; MR 34, 4167. (1966) MR0204325
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.