A structural property of planar graphs and the simultaneous colouring of their edges and faces

Oleg V. Borodin

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 2, page 113-116
  • ISSN: 0232-0525

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Borodin, Oleg V.. "A structural property of planar graphs and the simultaneous colouring of their edges and faces." Mathematica Slovaca 40.2 (1990): 113-116. <http://eudml.org/doc/32078>.

@article{Borodin1990,
author = {Borodin, Oleg V.},
journal = {Mathematica Slovaca},
keywords = {structural characterization; planar graphs; colouring},
language = {eng},
number = {2},
pages = {113-116},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A structural property of planar graphs and the simultaneous colouring of their edges and faces},
url = {http://eudml.org/doc/32078},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Borodin, Oleg V.
TI - A structural property of planar graphs and the simultaneous colouring of their edges and faces
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 2
SP - 113
EP - 116
LA - eng
KW - structural characterization; planar graphs; colouring
UR - http://eudml.org/doc/32078
ER -

References

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  1. BORODIN O. V., Consistent colorings of graphs on the plane, Met. diskr. anal., Novosibirsk, 1987, 45, 21-27 (Russian). (1987) MR0946360
  2. ERDOS P., RUBIN A. L., TAYLOR H., Choosability in graphs, Proc. West Coast Conf. Combin. Graph Theory, Humboldt State Univ., 1979, 125-157. (1979) MR0593902
  3. FIAMČÍK J., Simultaneous colouring of 4-valent maps, Mat. Čas. 21, 1971, 9-13. (1971) Zbl0213.50704MR0357196
  4. JUCOVIČ E., On a problem in map colouring, Mat. Čas., 19, 1969, 225-227. (1969) Zbl0187.21001MR0345860
  5. KOTZIG A., From the theory of Euler's polyhedrons, Mat. Čas., 13, 1963, 20-34 (Russian). (1963) Zbl0134.19601MR0162176
  6. KRONK H., MITCHEM J., A seven-color theorem on the sphere, Discrete Math., 5, 1973, 253-260. (1973) Zbl0256.05106MR0317984
  7. Recent advances in graph theory, Proc. Int. Symp. Prague, 1974, Academia, Praha 1975. (1974) 
  8. VIZING V. G., Coloring the vertices of a graph with assigned colors, Met. diskr. anal., Novosibirsk, 29, 1976, 3-10. (1976) MR0498216
  9. ZAKS J., Extending two theorems of A. Kotzig, Discrete Math., 43, 1983, 309-316. (1983) Zbl0507.05032MR0685638

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