Transitive cornerations in maps

Toledo, Micael (author), Ramos Rivera, Alejandra (author), Potočnik, Primož (author), Wilson, Steve (author)

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.

• Language: English
• Keywords: cornerations, maps, vertex-transitive group of automorphisms
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 01.01.2025
• Year: 2025
• Number of pages: 27 str.
• Numbering: Vol. 32, iss. 4, article no. P4.4
• PID: 20.500.12556/RUL-174884
• UDC: 519.1:512
• ISSN on article: 1077-8926
• DOI: 10.37236/12798
• COBISS.SI-ID: 252674051
• Publication date in RUL: 10.10.2025

Record is a part of a journal

• Title: The Electronic journal of combinatorics
• Shortened title: Electron. j. comb.
• Publisher: N.J. Calkin and H.S. Wilf
• ISSN: 1077-8926
• COBISS.SI-ID: 6973785

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.