Year: 2023
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Potocnik, Primoz, Ramos-Rivera, Alejandra, Toledo, Micael, Wilson, Stephen
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: Generating, analysing and cataloging symmetric graph, The Weiss Conjecture and Generalisations, Computationally intensive methods in theoretical computer science, discrete mathematics, combinatorial optimization, and numerical analysis and algebra with applications in natural and social sciences
OpenAlex ID: W4376167256