On 2-cell embeddings of graphs with minimum numbers of regions

Ladislav Nebeský

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 4, page 625-631
  • ISSN: 0011-4642

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Nebeský, Ladislav. "On 2-cell embeddings of graphs with minimum numbers of regions." Czechoslovak Mathematical Journal 35.4 (1985): 625-631. <http://eudml.org/doc/13546>.

@article{Nebeský1985,
author = {Nebeský, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {upper embeddable graph; maximum genus},
language = {eng},
number = {4},
pages = {625-631},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On 2-cell embeddings of graphs with minimum numbers of regions},
url = {http://eudml.org/doc/13546},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Nebeský, Ladislav
TI - On 2-cell embeddings of graphs with minimum numbers of regions
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 4
SP - 625
EP - 631
LA - eng
KW - upper embeddable graph; maximum genus
UR - http://eudml.org/doc/13546
ER -

References

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  1. M. Behzad G. Chartrand, and L. Lesniak-Foster, Graphs & Digraphs, Prindle, Weber & Schmidt, Boston 1979. (1979) MR0525578
  2. F. Harary, Graph Theory, Addison-Wesley, Reading (Mass.) 1969. (1969) Zbl0196.27202MR0256911
  3. N. P. Homenko N. A. Ostroverkhy, and V. A. Kusmenko, The maximum genus of a graph, (in Ukrainian, English summary), -peretvorennya grafiv (N. P. Homenko, ed.) IM AN URSR, Kiev 1973, pp. 180-210. (1973) MR0351870
  4. M. Jungerman, A characterization of upper embeddable graphs, Trans. Amer. Math. Soc. 241 (1978), 401-406. (1978) Zbl0379.05025MR0492309
  5. L. Nebeský, A new characterization of the maximum genus of a graph, Czechoslovak Math. J. 31 (106) (1981), 604-613. (1981) MR0631605
  6. L. Nebeský, A note on upper embeddable graphs, Czechoslovak Math. J. 33 (108) (1983), 37-40. (1983) MR0687415
  7. L. Nebeský, On a diffusion of a set of vertices in a connected graph, In: Graphs and Other Combinatorial Topics (Proc. Third Czechoslovak Symp. Graph Theory held in Prague, 1982) (M. Fiedler, ed.), Teubner-Texte zur Mathematik, Band 59, Teubner, Leipzig 1983, pp. 200-203. (1982) MR0737038
  8. E. A. Nordhaus R. D. Ringeisen В. M. Stewart, and A. T. White, 10.1016/0095-8956(72)90040-8, J. Combinatorial Theory 12 В (1972), 260-267. (1972) MR0299523DOI10.1016/0095-8956(72)90040-8
  9. G. Ringel, 10.1002/jgt.3190010210, J. Graph Theory 1 (1977), 141 - 155. (1977) Zbl0386.05030MR0444509DOI10.1002/jgt.3190010210
  10. N. H. Xuong, 10.1016/0095-8956(79)90058-3, J. Combinatorial Theory 26 В (1979), 217-225. (1979) Zbl0403.05035MR0532589DOI10.1016/0095-8956(79)90058-3

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