12 citations · 111 across the 38 of their papers we have counts for
40 papers
Crystallizations of generalized lens spaces
Basudeb Datta
We present some natural crystallizations of the generalized lens spaces for integers , and integers relatively prime to…
Isoperimetric inequality for non-Euclidean polygons
Basudeb Datta, Subhojoy Gupta
It is a classical fact in Euclidean geometry that the regular polygon maximizes area amongst polygons of the same perimeter and number of sides, and the analogue of this in non-Euc…
Simplicial cell decompositions of
Basudeb Datta, Jonathan Spreer
According to a well-known result in geometric topology, we have \linebreak , where $\operatorname{Sym}(…
On the structure of cellular pseudomanifolds
Bhaskar Bagchi, Basudeb Datta
In this paper we study the structure of cellular pseudomanifolds (aka abstract polytopes). These are natural combinatorial generalisations of polytopal spheres (i.e., boundary comp…
Constructions of -spheres from -spheres and -balls with same set of vertices
Basudeb Datta
Given a combinatorial -sphere , to construct a combinatorial -sphere containing , one usually needs some more vertices. Here we consider t…
Vertex-transitive covers of semi-equivelar toroidal maps
Basudeb Datta
A map on a surface is called vertex-transitive if the automorphism group of acts transitively on the set of vertices of . If the face-cycles at all the vertices in a map…