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20112022
most citedSemi-equivelar and vertex-transitive maps on the torus

12 citations · 20 across the 18 of their papers we have counts for

collaborators

20 papers

math.CO2022

2-uniform toroidal maps, classification and asymptotic behavior

Arnab Kundu, Dipendu Maity

If a map has k transitivity classes of vertices that are subject to the action of the automorphism group, it is said to be k-uniform. The classification of 1-uniform maps on the to…

math.CO2022

A class of maps on the torus and their vertex orbits

Marbarisha M. Kharkongor, Dipendu Maity

A tiling (edge-to-edge) of the plane is a family of tiles that cover the plane without gaps or overlaps. Vertex figure of a vertex in a tiling to be the union of all edges incident…

math.CO2021

Semi-equivelar toroidal maps and their k-semiregular covers

Arnab Kundu, Dipendu Maity

If the face\mbox{-}cycles at all the vertices in a map are of same type then the map is called semi\mbox{-}equivelar. In particular, it is called equivelar if the face-cycles conta…

math.CO2021★ 1 cited

Semi-equivelar toroidal maps and their k-edge covers

Arnab Kundu, Dipendu Maity

If the face\mbox{-}cycles at all the vertices in a map are of same type then the map is called semi\mbox{-}equivelar. A tiling is edge-homogeneous if any two edges with vertices of…

math.CO2021

Semi-equivelar toroidal maps and their vertex covers

Arnab Kundu, Dipendu Maity

If the face\mbox{-}cycles at all the vertices in a map are of same type then the map is called semi\mbox{-}equivelar. A map is called minimal if the number of vertices is minimal.…

math.CO2021

2-uniform covers of -semiequivelar toroidal maps

Dipendu Maity

If every vertex in a map has one out of two face-cycle types, then the map is said to be -semiequivelar. A 2-uniform tiling is an edge-to-edge tiling of regular polygons having…