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Title:Transitive cornerations in maps
Authors:ID Toledo, Micael (Author)
ID Ramos Rivera, Alejandra (Author)
ID Potočnik, Primož (Author)
ID Wilson, Steve (Author)
Files:.pdf PDF - Presentation file, download (863,61 KB)
MD5: 3DA984791185A96D324DB1F28F61B03B
 
URL URL - Source URL, visit https://www.combinatorics.org/ojs/index.php/eljc/article/view/v32i4p4
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
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:cornerations, maps, vertex-transitive group of automorphisms
Publication status:Published
Publication version:Version of Record
Publication date:01.01.2025
Year of publishing:2025
Number of pages:27 str.
Numbering:Vol. 32, iss. 4, article no. P4.4
PID:20.500.12556/DiRROS-23844 New window
UDC:519.1:512
ISSN on article:1077-8926
DOI:10.37236/12798 New window
COBISS.SI-ID:252674051 New window
Note:
Publication date in DiRROS:10.10.2025
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Downloads:110
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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 New window

Document is financed by a project

Funder:ARRS - Slovenian Research Agency
Project number:P1-0294
Name:Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju

Funder:ARRS - Slovenian Research Agency
Project number:J1-1691
Name:Weissova domneva in posplošitve

Funder:ARRS - Slovenian Research Agency
Project number:J1-4351
Name:Generiranje, analiza in katalogizacija simetričnih grafov

Funder:Fédération Wallonie-Bruxelles - Actions de Recherche Concertées
Funding programme:ARC Advanced grant

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.

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