Geodesic
Transitive cornerations in maps
Micael Toledo1 ; Alejandra Ramos-Rivera ; Primož Potočnik ; Stephen Wilson
1Universite Libre de Bruxelles
The electronic journal of combinatorics, Tome 32 (2025) no. 4
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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.
DOI : 10.37236/12798
Classification : 05C25, 05E18, 05C76
Mots-clés : edge-vertex-edge triple, dart-transitive map

Micael Toledo  1   ; Alejandra Ramos-Rivera    ; Primož Potočnik    ; Stephen Wilson 

1 Universite Libre de Bruxelles 
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     title = {Transitive cornerations in maps},
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     year = {2025},
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Micael Toledo; Alejandra Ramos-Rivera; Primož Potočnik; Stephen Wilson. Transitive cornerations in maps. The electronic journal of combinatorics, Tome 32 (2025) no. 4. doi: 10.37236/12798

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