Paper Info
Title
Complex parametrization of triangulations on oriented maps
Abstract
We consider here triangulations of oriented maps having a specified set S of vertices of degree different from 6 and some other vertices of degree 6. Such map can be described by specifying the relative positions between elements of S using Eisenstein integers. We first consider the case of 1 parameter, which corresponds to the Goldberg-Coxeter construction. Then we develop the general theory, the special case of positive curvature studied by Thurston and finally extend the theory to quadrangulations and some other cases. In the last section we expose application of parameterizations to the study of zigzags.
Year
Venue
Keywords
2013
ARS MATHEMATICA CONTEMPORANEA
Maps,graphs,Groups,parameterizations
Field
DocType
Volume
Topology,Graph,Combinatorics,Curvature,Vertex (geometry),Parametrization,Eisenstein integer,Mathematics,Special case
Journal
6
Issue
ISSN
Citations 
SP1
1855-3966
0
PageRank 
References 
Authors
0.34
5
1
Name
Order
Citations
PageRank
Mathieu Dutour Sikiric1184.50