12 papers
Minimal simplicial degree self-maps of
Anshu Agarwal, Biplab Basak, Sourav Sarkar
The degree of a map between orientable manifolds is a fundamental concept in topology, providing important information about the structure of manifolds and the behavior of maps bet…
A Complete Classification of Discrete -Pseudomanifolds with at Most Vertices
Biplab Basak, Debolina Ghosh, Raju Kumar Gupta
A simple undirected graph is called a discrete -pseudomanifold if, for every vertex , the induced subgraph on the neighbors of is a discrete -pseudoma…
Simplicial degree self-maps on -spheres
Biplab Basak, Raju Kumar Gupta, Ayushi Trivedi
The degree of a map between orientable manifolds is a fundamental concept in topology, providing deep insights into the structure of manifolds and the behavior of maps between them…
Crystallizations of small covers over the -simplex and the prism
Anshu Agarwal, Biplab Basak
A crystallization of a PL manifold is an edge-colored graph that corresponds to a contracted triangulation of the manifold, facilitating the study of its topological and combinator…
Coloring discrete pseudomanifolds
Biplab Basak, Vanny Doem, Chandal Nahak
This paper presents three main results on coloring discrete -pseudomanifolds: the general chromatic bounds for any -pseudomanifold ; …
Minimal Simplicial Degree Maps from Genus Surfaces to the Torus
Biplab Basak, Ayushi Trivedi
The degree of a map between orientable manifolds is a fundamental concept in topology, offering deep insights into the structure of the manifolds and the nature of the correspondin…