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2008 Decomposition and Enumeration of Triangulated Surfaces
Gennaro Amendola
Experiment. Math. 17(2): 153-166 (2008).

Abstract

We describe some theoretical results on triangulations of surfaces and we develop a theory on roots, decompositions, and genus surfaces. We apply this theory to describe an algorithm to list all triangulations of closed surfaces with at most a fixed number of vertices. We specialize the theory to the case that the number of vertices is at most 11, and we obtain theoretical restrictions on genus surfaces, allowing us to obtain a list of all triangulations of closed surfaces with at most 11 vertices.

Citation

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Gennaro Amendola. "Decomposition and Enumeration of Triangulated Surfaces." Experiment. Math. 17 (2) 153 - 166, 2008.

Information

Published: 2008
First available in Project Euclid: 19 November 2008

zbMATH: 1152.57024
MathSciNet: MR2433882

Subjects:
Primary: 57Q15

Rights: Copyright © 2008 A K Peters, Ltd.

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Vol.17 • No. 2 • 2008
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