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Every planar graph with nine points has a nonplanar complement. (English) Zbl 0114.14602


Keywords:

topology
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References:

[1] István Fáry, On straight line representation of planar graphs, Acta Univ. Szeged. Sect. Sci. Math. 11 (1948), 229 – 233. · Zbl 0030.17902
[2] F. Harary, Problem 28, Bull. Amer. Math. Soc. 67 (1961), 542.
[3] F. Harary, A complementary problem on nonplanar graphs, Math. Mag. (1962) (to appear). · Zbl 0114.14601
[4] Václav Havel, Eine Bemerkung über die Existenz der endlichen Graphen, Časopis Pěst. Mat. 80 (1955), 477 – 480 (Czech, with Russian and German summaries). · Zbl 0068.37202
[5] K. Kuratowski, Sur le problème des courbes gauches en topologie, Fund. Math. 15 (1930), 271-283. · JFM 56.1141.03
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