Experimental Mathematics

Decomposition and Enumeration of Triangulated Surfaces

Gennaro Amendola

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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.

Article information

Source
Experiment. Math., Volume 17, Issue 2 (2008), 153-166.

Dates
First available in Project Euclid: 19 November 2008

Permanent link to this document
https://projecteuclid.org/euclid.em/1227118968

Mathematical Reviews number (MathSciNet)
MR2433882

Zentralblatt MATH identifier
1152.57024

Subjects
Primary: 57Q15: Triangulating manifolds

Keywords
Surface triangulation decomposition listing algorithm

Citation

Amendola, Gennaro. Decomposition and Enumeration of Triangulated Surfaces. Experiment. Math. 17 (2008), no. 2, 153--166. https://projecteuclid.org/euclid.em/1227118968


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