7 citations · 12 across the 11 of their papers we have counts for
11 papers
Star-collision in random hypergraphs
Kartick Adhikari, Samiron Parui
We study star-based symmetries in uniform hypergraphs and their consequences for matrices whose entries depend only on vertex stars. Such matrices admit a deterministic decompositi…
Spectrum and local weak convergence of sparse random uniform hypergraphs
Kartick Adhikari, Samiron Parui
The notion of local weak convergence, or Benjamini--Schramm convergence, was introduced by Benjamini and Schramm. The local weak limit of sparse Erd\H os--Rényi graphs is the Galto…
On the Incidence matrices of hypergraphs
Samiron Parui
This study delves into the incidence matrices of hypergraphs, with a focus on two types: the edge-vertex incidence matrix and the vertex-edge incidence matrix. The edge-vertex inci…
Spectral decomposition of hypergraph automorphism compatible matrices
Anirban Banerjee, Samiron Parui
This study explores the relationship between hypergraph automorphisms and the spectral properties of matrices associated with hypergraphs. For an automorphism , an \( f \)-compa…
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…
On the spectra of Commuting Graphs
Gargi Ghosh, Samiron Parui
We describe the complete spectra of Laplacian, signless Laplacian, and adjacency matrices associated with the commuting graphs of a finite group using group theoretic information.…
A study of diffusion in network with multi-body interactions using Hypergraphs
Anirban Banerjee, Samiron Parui
Being cognizant of the abundance of multi-body interactions in various complex systems, here we investigate a possible way to incorporate multi-body interactions in dynamical netwo…