Transitive planar graphs

Herbert Fleischner; Wilfried Imrich

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 2, page 97-106
  • ISSN: 0139-9918

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Fleischner, Herbert, and Imrich, Wilfried. "Transitive planar graphs." Mathematica Slovaca 29.2 (1979): 97-106. <http://eudml.org/doc/32194>.

@article{Fleischner1979,
author = {Fleischner, Herbert, Imrich, Wilfried},
journal = {Mathematica Slovaca},
keywords = {vertex-transitive; edge-transitive planar graphs; nets; Platonic solids; rhombic dodecahedron; rhombic triacentahedron; cuboctahedron; icosidodecahedron; single vertex; single edge; stars; simple circuits; uniform convex polyhedra; antiprisms; Archimedian bodies},
language = {eng},
number = {2},
pages = {97-106},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Transitive planar graphs},
url = {http://eudml.org/doc/32194},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Fleischner, Herbert
AU - Imrich, Wilfried
TI - Transitive planar graphs
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 2
SP - 97
EP - 106
LA - eng
KW - vertex-transitive; edge-transitive planar graphs; nets; Platonic solids; rhombic dodecahedron; rhombic triacentahedron; cuboctahedron; icosidodecahedron; single vertex; single edge; stars; simple circuits; uniform convex polyhedra; antiprisms; Archimedian bodies
UR - http://eudml.org/doc/32194
ER -

References

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  1. CUNDY H. M., ROLLET A. P., Mathematical Models, Oxford University Press 1961. (1961) MR0124167
  2. FEJES TÓTH L., Lagerungen auf der Kugel und im Raum, Berlin 1953. (1953) 
  3. FLEISCHNER H., Über endliche, ebene Eulersche und paare kubische Graphen, Monatsh. Math., 74, 1970, 410-420. (1970) Zbl0204.24201MR0278990
  4. GRÜNBAUM B., Convex Polytops, John Wiley 1967. (1967) MR0226496
  5. MANI P., Automorphismen von polyedrischen Graphen, Math. Ann., 192, 1971, 279-303. (192,) MR0296808
  6. WAGNER K., Graphentheorie, Bibliographisches Institut, Mannheim 1970. (1970) Zbl0195.54103MR0282850
  7. WATKINS M., Connectivity of Transitive Graphs, J. Comb. Th., 8, 1970, 23-29. (1970) Zbl0185.51702MR0266804
  8. ZELINKA B., Finite vertex-transitive planar graphs of the regularity degree four or five, Mat. Čas., 25, 1975, 271-280. (1975) Zbl0306.05107MR0505792
  9. ZELINKA B., Finite vertex-transitive planar graphs of the regularity degree three, Časop. Pěstov. Mat., 102, 1, 1977, 1-9. (1977) MR0498238

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