7 citations · 12 across the 11 of their papers we have counts for
5 papers · 1 filter
Symmetries of Hypergraphs and Some Invariant Subspaces of Matrices Associated with Hypergraphs
Anirban Banerjee, Samiron Parui
Here, the structural symmetries of a hypergraph are represented through equivalence relations on the vertex set of the hypergraph. A matrix associated with the hypergraph may not r…
A Study of Hypergraph Using Null Spaces of the Incidence Matrix and its Transpose
Samiron Parui
In this study, we explore the substructures of a hypergraph that lead us to linearly dependent rows (or columns) in the incidence matrix of the hypergraph. These substructures are…
On the Spectra of Threshold Hypergraphs
Anirban Banerjee, Rajiv Mishra, Samiron Parui
Starting with an isolated vertex, here we construct a threshold hypergraph by repeatedly adding an isolated vertex or a -dominating vertex set. We represent a threshold hypergra…
On some building blocks of hypergraphs
Anirban Banerjee, Samiron Parui
In this study, we explore the interrelation between hypergraph symmetries represented by equivalence relations on the vertex set and the spectra of operators associated with the hy…
On Some General Operators of Hypergraphs
Anirban Banerjee, Samiron Parui
Here we introduce connectivity operators, namely, diffusion operators, general Laplacian operators, and general adjacency operators for hypergraphs. These operators are generalisat…