12 citations · 37 across the 25 of their papers we have counts for
6 papers · 1 filter
The Borsuk-Ulam theorem for planar polygon spaces
Navnath Daundkar, Priyavrat Deshpande, Shuchita Goyal +1
The moduli space of planar polygons with generic side lengths is a closed, smooth manifold. Mapping a polygon to its reflected image across the -axis defines a fixed-point-free…
A branch statistic for trees: Interpreting coefficients of the characteristic polynomial of braid deformations
Priyavrat Deshpande, Krishna Menon
A hyperplane arrangement in is a finite collection of affine hyperplanes. The regions are the connected components of the complement of these hyperplanes. By a theor…
The moment polytope of the abelian polygon space
Navnath Daundkar, Priyavrat Deshpande
The moduli space of chains in the plane with generic side lengths that terminate on a fixed line is a smooth, closed manifold of dimension . This manifold is also equipped…
Chordal graphs, higher independence and vertex decomposable complexes
Fred M. Abdelmalek, Priyavrat Deshpande, Shuchita Goyal +2
Given a simple undirected graph there is a simplicial complex , called the independence complex, whose faces correspond to the independent sets of . This is…
A combinatorial statistic for labeled threshold graphs
Priyavrat Deshpande, Krishna Menon, Anurag Singh
Consider the collection of hyperplanes in whose defining equations are given by . This arrangement is called the threshold arr…
Counting regions of the boxed threshold arrangement
Priyavrat Deshpande, Krishna Menon, Anurag Singh
In this paper we consider the hyperplane arrangement in whose hyperplanes are . We call it…