7 papers · 1 filter
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 Galt…
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…
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 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…