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Triangulations on Closed Surfaces Covered by Vertices of Given Degree

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Abstract.

A triangulation of a closed surface is said to be d-covered if all of its edges are covered by vertices of degree d. We shall give constructive characterizations of 5- and 6-covered triangulations.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan. e-mail: negami@edhs.ynu.ac.jp, , , , , , JP

    Seiya Negami

  2. Department of Mathematics, Osaka Kyoiku University, 4-698-1 Asahigaoka, Kashiwara, Osaka 852-8582, Japan. e-mail: nakamoto@cc.osaka-kyoiku.ac.jp, , , , , , JP

    Atsuhiro Nakamoto

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  1. Seiya Negami
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  2. Atsuhiro Nakamoto
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Received: July 17, 1998¶Final version received: January 12, 2000

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Negami, S., Nakamoto, A. Triangulations on Closed Surfaces Covered by Vertices of Given Degree. Graphs Comb 17, 529–537 (2001). https://doi.org/10.1007/s003730170027

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  • DOI: https://doi.org/10.1007/s003730170027

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