Medial symmetry type graphs
Combinatorics
2013-02-01 v1
Abstract
A -orbit map is a map with its automorphism group partitioning the set of flags into orbits. Recently -orbit maps were studied by Orbani\' c, Pellicer and Weiss, for . In this paper we use symmetry type graphs to extend such study and classify all the types of -orbit maps, as well as all self-dual, properly and improperly, symmetry type of -orbit maps with . Moreover, we determine, for small values of , all types of -orbits maps that are medial maps. Self-dualities constitute an important tool in this quest.
Keywords
Cite
@article{arxiv.1301.7637,
title = {Medial symmetry type graphs},
author = {Isabel Hubard and Alen Orbanić and Tomaž Pisanski and María del Río Francos},
journal= {arXiv preprint arXiv:1301.7637},
year = {2013}
}