Hitesh Kumar

collaborators

2 papers

math.CO2024

A Linear Lower Bound for the Square Energy of Graphs

Saieed Akbari, Hitesh Kumar, Bojan Mohar +1

Let $G$ be a graph of order $n$ with eigenvalues $λ_{1} \geq \dots \geq λ_{n}$ . Let \[s^+(G)=\sum_{λ_i>0} λ_i^2, \qquad s^-(G)=\sum_{λ_i<0} λ_i^2.\] The smaller value, $s(G)=\min\{s^+(…

math.CO2023

Subdivision and Graph Eigenvalues

Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada +1

This paper investigates the asymptotic nature of graph spectra when some edges of a graph are subdivided sufficiently many times. In the special case where all edges of a graph are…