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Triangulations on Closed Surfaces Covered by Vertices of Given Degree
Authors:Seiya Negami  Atsuhiro Nakamoto
Affiliation:(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;(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
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. Received: July 17, 1998?Final version received: January 12, 2000
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