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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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