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Quasi-vertex-transitive maps on the plane

Maiti, A (2020) Quasi-vertex-transitive maps on the plane. In: Discrete Mathematics, 343 (7).

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Official URL: https://dx.doi.org/10.1016/j.disc.2020.111911

Abstract

Quasi-vertex-transitive maps are the homogeneous maps on the plane with finitely many vertex orbits under the action of their automorphism groups. We show that there exist quasi-vertex-transitive maps of the types p3,3 for p�1 (mod 6), but there does not exist vertex-transitive map of such types. In particular, we determine the surface with the lowest possible genus that admit a polyhedral map of type 53,3.

Item Type: Journal Article
Publication: Discrete Mathematics
Publisher: Elsevier B.V.
Additional Information: copyright for this article belongs to Elsevier B.V.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 29 Jun 2020 10:39
Last Modified: 29 Jun 2020 10:39
URI: http://eprints.iisc.ac.in/id/eprint/64943

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