Priyavrat Deshpande

activity

20182021

most citedCounting regions of the boxed threshold arrangement

1 citations · 1 across the 3 of their papers we have counts for

collaborators

7 papers

math.CO2021

The moment polytope of the abelian polygon space

Navnath Daundkar, Priyavrat Deshpande

The moduli space of $n$ chains in the plane with generic side lengths that terminate on a fixed line is a smooth, closed manifold of dimension $n - 1$ . This manifold is also equipped…

math.CO2021

A combinatorial statistic for labeled threshold graphs

Priyavrat Deshpande, Krishna Menon, Anurag Singh

Consider the collection of hyperplanes in $R^{n}$ whose defining equations are given by ${x_{i} + x_{j} = 0 ∣ 1 \leq i < j \leq n}$ . This arrangement is called the threshold arr…

math.CO2021★ 1 cited

Counting regions of the boxed threshold arrangement

Priyavrat Deshpande, Krishna Menon, Anurag Singh

In this paper we consider the hyperplane arrangement in $R^{n}$ whose hyperplanes are ${x_{i} + x_{j} = 1 ∣ 1 \leq i < j \leq n} \cup {x_{i} = 0, 1 ∣ 1 \leq i \leq n}$ . We call it…

math.CO2020

Distance $r$ -domination number and $r$ -independence complexes of graphs

Priyavrat Deshpande, Samir Shukla, Anurag Singh

For $r \geq 1$ , the $r$ -independence complex of a graph $G$ , denoted Ind $_{r} (G)$ , is a simplicial complex whose faces are subsets $A \subseteq V (G)$ such that each component of the i…

math.AT2020

Higher Independence Complexes of graphs and their homotopy types

Priyavrat Deshpande, Anurag Singh

For $r \geq 1$ , the $r$ -independence complex of a graph $G$ is a simplicial complex whose faces are subset $I \subseteq V (G)$ such that each component of the induced subgraph $G [I]$ …

math.AT2019

On the topology of bi-cyclopermutohedra

Priyavrat Deshpande, Naageswaran Manikandan, Anurag Singh

Motivated by the work of Panina and her coauthors on cyclopermutohedron we study a poset whose elements correspond to equivalence classes of partitions of the set $\{1,\cdots, n+1\…