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Infinite Series of Triangulations on Closed Surfaces with Vertex Covers of Given Degree

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Abstract.

A triangulation on a closed surface is said to be d-covered if each of its edges is covered by a vertex of degree d. We shall give some infinite series of d-covered triangulations on each closed surface of non-positive (respectively positive) Euler characteristic for 5≤d≤12 (respectively ≤10).

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  1. Department of Mathematics, Faculty of Engineering, Yokohama National University, 79-5, Tokiwadai, Hodogaya-ku Yokohama, 240-8501, Japan

    Tetsuji Katahira

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  1. Tetsuji Katahira
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Correspondence to Tetsuji Katahira.

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Final version received: April 25, 2003

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Katahira, T. Infinite Series of Triangulations on Closed Surfaces with Vertex Covers of Given Degree. Graphs and Combinatorics 20, 73–78 (2004). https://doi.org/10.1007/s00373-003-0543-y

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  • DOI: https://doi.org/10.1007/s00373-003-0543-y

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