PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Map operations and k-orbit maps
Alen Orbanic, Daniel Pellicer and Asia Ivić Weiss
J. comb. theory. Ser. A Volume 117, Number 4, pp. 411-429, 2010. ISSN 0097-3165

Abstract

A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to kless-than-or-equals, slant4. “Hurwitz-like” upper bounds for the cardinality of the automorphism groups of 2-orbit and 3-orbit maps on surfaces are given. Furthermore, we consider effects of operations like medial and truncation on k-orbit maps and use them in classifying 2-orbit and 3-orbit maps on surfaces of small genus.

EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8245
Deposited By:Boris Horvat
Deposited On:21 February 2012