Biplab Basak

activity

20132026

most citedSimple crystallizations of 4-manifolds

17 citations · 68 across the 30 of their papers we have counts for

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Showing 2026 · math.COShow all

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math.CO2026

The Homotopy Types of the Independence and Perfect Matching Complexes of Möbius and Circular Ladder Graphs

Anshu Agarwal, Biplab Basak

The independence complex and perfect matching complex of a graph are simplicial complexes encoding, respectively, its independent sets and perfect matchings. Determining their homo…

math.CO2026

A Complete Classification of Discrete $d$ -Pseudomanifolds with at Most $2 d + 7$ Vertices

Biplab Basak, Debolina Ghosh, Raju Kumar Gupta

A simple undirected graph $M$ is called a discrete $d$ -pseudomanifold if, for every vertex $v$ , the induced subgraph $N_{M} (v)$ on the neighbors of $v$ is a discrete $(d - 1)$ -pseudoma…

math.CO2026

Coloring discrete pseudomanifolds

Biplab Basak, Vanny Doem, Chandal Nahak

This paper presents three main results on coloring discrete $d$ -pseudomanifolds: $(1)$ the general chromatic bounds $d + 1 \leq X (K) \leq 2 d + 2$ for any $d$ -pseudomanifold $K$ ; $(2)$ …

The Homotopy Types of the Independence and Perfect Matching Complexes of Möbius and Circular Ladder Graphs

A Complete Classification of Discrete d-Pseudomanifolds with at Most 2d+7 Vertices

Coloring discrete pseudomanifolds

A Complete Classification of Discrete $d$ -Pseudomanifolds with at Most $2 d + 7$ Vertices