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Extending Kotzig’s theorem

✍ Scribed by Joseph Zaks

Book ID: 112897191
Publisher: The Hebrew University Magnes Press
Year: 1983
Tongue: English
Weight: 612 KB
Volume: 45
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02804013

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Two theorems of A. Kotzig are extended, as follows: (1) A. Kotzig proved in 1963 that every 5-valent Sconnected planar graph contains a vertex which meets at least four triangles. We prove that if a 5-valent 3-connected graph on the orientable surface of genus g has pk k-gons, k 33, and mi vertices

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