Transitive cornerations in maps
Combinatorics
2023-05-11 v1
Abstract
A corner in a map is an edge-vertex-edge triple consisting of two distinct edges incident to the same vertex. A corneration is a set of corners that covers every arc of the map exactly once. Cornerations in a dart-transitive map generalize the notion of a cycle structure in a symmetric graph. In this paper, we study the cornerations (and associated structures) that are preserved by a vertex-transitive group of automorphisms of the map.
Keywords
Cite
@article{arxiv.2305.06050,
title = {Transitive cornerations in maps},
author = {Primoz Potocnik and Alejandra Ramos-Rivera and Micael Toledo and Stephen Wilson},
journal= {arXiv preprint arXiv:2305.06050},
year = {2023}
}