Transitive Cornerations in Maps
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.
Authors
- Micael Toledo (ORCID: https://orcid.org/0000-0002-9531-3506)
- Primož Potočnik
- Alejandra Ramos‐Rivera
- Stephen Wilson (ORCID: https://orcid.org/0000-0002-0268-6865)
Institutions
- Université Libre de Bruxelles (BE)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2025-10-03
- DOI
- https://doi.org/10.37236/12798
- Primary Topic
- Geographic Information Systems Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fédération Wallonie-Bruxelles
- Javna Agencija za Raziskovalno Dejavnost RS