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Signierte Zellenzerlegungen. I. (Signed cell decompositions.). (German) Zbl 0222.05104


MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory
05C15 Coloring of graphs and hypergraphs
51M20 Polyhedra and polytopes; regular figures, division of spaces

Citations:

Zbl 0615.51010
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References:

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[13] P. J. Heawood, Failures in congruences connected with the four-colour map theorem,Proc. London Math. Soc. (2),40 (1936), S. 189–202. · Zbl 0013.08101 · doi:10.1112/plms/s2-40.1.189
[14] A. Kotzig, Colouring of trivalent polyhedra,Can. J. Math.,17, (1965), S. 659–664. · Zbl 0137.18003 · doi:10.4153/CJM-1965-065-7
[15] J. Malkevitch, Properties of planar graphs with uniform vertex and face structure,Ph. D. Thesis, University of Wisconsin, 1968.Memoirs of the Amer. Math. Soc. 99, (1970). · Zbl 0196.27203
[16] T. S. Motzkin, The eveness of the number of edges of a convex polyhedron,Proc. Nat. Acad. Sci. US.,52 (1964), S. 44–45. · Zbl 0121.37606 · doi:10.1073/pnas.52.1.44
[17] T. S. Motzkin, The edge number of regular-homomorphic 3-polyhedra,Proc. Colloq. on Convexity, Copenhagen, 1965 (Kobenhaven, 1967.), S. 221–213.
[18] K. Reidemeister,Topologie der Polyeder (2. Auflage, Leipzig, 1953).
[19] E. Steinitz-H. Rademacher,Vorlesungen über die Theorie der Polyeder (Berlin, 1934).
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