Map operations and k-orbit maps

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:117

Article

Orbanic, Alen¹  Pellicer, Daniel²  Weiss, Asia Ivic² 

[1] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

关键词: Maps;    Monodromy groups;    Medials of maps;    Truncations of maps;    Polyhedra;    k-Orbit maps;   

DOI  :  10.1016/j.jcta.2009.09.001

来源: Elsevier

【 摘 要 】

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 k <= 4. 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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free