Doubly semi-equivelar maps on the plane and the torus

AbstractA map is called 2-semi equivelar if it has exactly two distinct cyclic arrangement of faces at its vertices. A 2-semi-equivelar map is called 2-uniform if it has precisely 2 orbits of vertices under its symmetric group. Doubly semi-equivelar maps are a subclass of 2-semi equivelar maps that...

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Bibliographic Details
Published inAKCE international journal of graphs and combinatorics Vol. 19; no. 3; pp. 296 - 310
Main Authors Singh, Yogendra, Tiwari, Anand Kumar
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 02.09.2022
Subjects
05C30
2-uniform maps
52B70
doubly semi-equivelar maps
semi-equivelar maps
torus
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Summary:AbstractA map is called 2-semi equivelar if it has exactly two distinct cyclic arrangement of faces at its vertices. A 2-semi-equivelar map is called 2-uniform if it has precisely 2 orbits of vertices under its symmetric group. Doubly semi-equivelar maps are a subclass of 2-semi equivelar maps that are used to determine 2-uniform maps. In this article, we determine doubly semi-equivelar maps of curvature 0 on the plane and torus exhaustively. Further, we present a classification of doubly semi-equivelar maps on the torus and illustrate this for those doubly semi-equivelar maps which comprise face-sequence pairs [Formula: see text] and [Formula: see text]
ISSN:0972-8600
2543-3474
DOI:10.1080/09728600.2022.2146549