A new characterization of the maximum genus of a graph

Ladislav Nebeský

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 4, page 604-613
  • ISSN: 0011-4642

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Nebeský, Ladislav. "A new characterization of the maximum genus of a graph." Czechoslovak Mathematical Journal 31.4 (1981): 604-613. <http://eudml.org/doc/13289>.

@article{Nebeský1981,
author = {Nebeský, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Betti number of a graph},
language = {eng},
number = {4},
pages = {604-613},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A new characterization of the maximum genus of a graph},
url = {http://eudml.org/doc/13289},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Nebeský, Ladislav
TI - A new characterization of the maximum genus of a graph
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 4
SP - 604
EP - 613
LA - eng
KW - Betti number of a graph
UR - http://eudml.org/doc/13289
ER -

References

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  5. F. Harary, Graph Theory, Addison-Wesley, Reading (Mass.) 1969. (1969) Zbl0196.27202MR0256911
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  7. N. P. Homenko N. A. Ostroverkhy, V. A. Kusmenko, The maximum genus of a graph, (in Ukrainian, EngHsh summary). (-peretvorennya grafiv (N. P. Homenko, ed.). IM AN URSR, Kiev 1973, pp. 180-210. (1973) 
  8. M. Jungerman, A characterization of upper embeddable graphs, Trans. Amer. Math. Soc. 241 (1978), 401-406. (1978) Zbl0379.05025MR0492309
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  10. E. A. Nordhaus В. M. Stewart, and A. T. White, 10.1016/0095-8956(71)90036-0, J. Combinatorial Theory 11 В (1971), 258-267. (1971) MR0286713DOI10.1016/0095-8956(71)90036-0
  11. R. D. Ringeisen, 10.1002/jgt.3190030102, J. Graph Theory 3 (1979), 1-13. (1979) Zbl0398.05029MR0519169DOI10.1002/jgt.3190030102
  12. G. Ringel, Map Color Theorem, Springer-Verlag, Berlin 1974. (1974) Zbl0287.05102MR0349461
  13. W. T. Tutte, On the problem of decomposing a graph into n connected factors, J. London Math. Soc. 36 (1961), 221-230. (1961) Zbl0096.38001MR0140438
  14. A. T. White, Graphs of groups on surfaces, In: Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference (P. J. Cameron, ed.). Academic Press, London 1977, pp. 165-197. (1977) Zbl0378.05028MR0491290
  15. R. J. Wilson, Introduction to Graph Theory, Longman, London 1972. (1972) Zbl0249.05101MR0826772
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Citations in EuDML Documents

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  1. Ladislav Nebeský, Characterizing the maximum genus of a connected graph
  2. Ladislav Nebeský, A note on upper embeddable graphs
  3. Ladislav Nebeský, Upper embeddable factorizations of graphs
  4. Ladislav Nebeský, On upper embeddability of complementary graphs
  5. Ladislav Nebeský, On 2-cell embeddings of graphs with minimum numbers of regions
  6. Ladislav Nebeský, Certain cubic multigraphs and their upper embeddability
  7. Martin Škoviera, The decay number and the maximum genus of a graph
  8. Yuanqiu Huang, Yan Pei Liu, Face size and the maximum genus of a graph. II: Nonsimple graphs
  9. Hung-Lin Fu, Martin Škoviera, Ming-Chun Tsai, The maximum genus, matchings and the cycle space of a graph
  10. Ladislav Nebeský, On locally quasiconnected graphs and their upper embeddability

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