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Complex parameterization of triangulations on oriented mapsDutour Sikirić, MathieuWe 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.Source: Ars mathematica contemporanea : special issue Bled'11 (Vol. 6, no. 1, 2013, str. 69-81)Type of material - conference contribution ; adult, seriousPublish date - 2013Language - englishCOBISS.SI-ID - 16470105
Author
Dutour Sikirić, Mathieu
Topics
maps |
graphs |
groups |
parametrizations |
teorija grafov
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