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 verticesI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.