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Regular projective polyhedra with planar faces II

✍ Scribed by J. Bracho

Publisher: Springer
Year: 2000
Tongue: English
Weight: 354 KB
Volume: 59
Category: Article
ISSN: 0001-9054
DOI: 10.1007/pl00000122

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Regular projective polyhedra with planar

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We construct a small non-Hamiltonian 3-connected trivalent planar graph whose faces are all 4-gons or 7-gons and show that the shortness coefficient of the class of such graphs is less than one. Then, by transforming non-Hamiltonian trivalent graphs into regular graphs of valency four or five, we ob