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 for the case where the number of vertices is at most 11 and we get theoretical restrictions on genus-surfaces allowing us to get the list of the triangulations of closed surfaces with at most 11 vertices

Amendola, G. (2008). Decomposition and Enumeration of Triangulated Surfaces. EXPERIMENTAL MATHEMATICS, 17(2), 153-166 [10.1080/10586458.2008.10129027].

Decomposition and Enumeration of Triangulated Surfaces

Amendola, G
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 for the case where the number of vertices is at most 11 and we get theoretical restrictions on genus-surfaces allowing us to get the list of the triangulations of closed surfaces with at most 11 vertices
Articolo in rivista - Articolo scientifico
surface, triangulation, decomposition, listing algorithm
English
153
166
14
Amendola, G. (2008). Decomposition and Enumeration of Triangulated Surfaces. EXPERIMENTAL MATHEMATICS, 17(2), 153-166 [10.1080/10586458.2008.10129027].
Amendola, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/8647
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