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arXiv · 2305.06050

Transitive cornerations in maps

Primoz Potocnik·Alejandra Ramos-Rivera·Micael Toledo·Stephen Wilson
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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.

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Primoz Potocnik, Alejandra Ramos-Rivera, Micael Toledo, Stephen Wilson. 2023-05-10. Transitive cornerations in maps. https://arxiv.org/abs/2305.06050

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