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pro vyhledávání: '"Kumar, Hitesh"'
Let $G$ be a graph of order $n$ with eigenvalues $\lambda_1 \geq \cdots \geq\lambda_n$. Let \[s^+(G)=\sum_{\lambda_i>0} \lambda_i^2, \qquad s^-(G)=\sum_{\lambda_i<0} \lambda_i^2.\] The smaller value, $s(G)=\min\{s^+(G), s^-(G)\}$ is called the \emph{
Externí odkaz:
http://arxiv.org/abs/2409.18220
For a graph $G$, let $\lambda_2(G)$ denote the second largest eigenvalue of the adjacency matrix of $G$. We determine the extremal trees with maximum/minimum adjacency eigenvalue $\lambda_2$ in the class $\mathcal{T}(n,d)$ of $n$-vertex trees with di
Externí odkaz:
http://arxiv.org/abs/2409.01431
Bollob\'as and Nikiforov conjectured that for any graph $G \neq K_n$ with $m$ edges \[ \lambda_1^2+\lambda_2^2\le \bigg( 1-\frac{1}{\omega(G)}\bigg)2m\] where $\lambda_1$ and $\lambda_2$ denote the two largest eigenvalues of the adjacency matrix $A(G
Externí odkaz:
http://arxiv.org/abs/2407.19341
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 subdivided, we find the exact limits of the $k$-th largest and $k$-th
Externí odkaz:
http://arxiv.org/abs/2303.10488
Autor:
Kumar, Brajesh, Kumar, Hitesh, Dangwal, Khushal Singh, Rawat, Himanshu, Misra, Kuntal, Negi, Vibhore, Jaiswar, Mukesh Kumar, Dukiya, Naveen, Ailawadhi, Bhavya, Hickson, Paul, Surdej, Jean
The 4m International Liquid Mirror Telescope (ILMT) is a zenith-pointing optical observing facility at ARIES Devasthal observatory (Uttarakhand, India). The first light preparatory activities of the ILMT were accomplished in April 2022 followed by on
Externí odkaz:
http://arxiv.org/abs/2211.08921
Autor:
Kumar, Amit1, Kumar, Hitesh1 hiteshkmr25@gmail.com, Kumar, Sunil1, Gupta, Vikas2, Panwar, G. S.1
Publikováno v:
Legume Research: An International Journal. Jun2024, Vol. 47 Issue 6, p884-890. 7p.
Autor:
Vashisht, Ketan, Sethi, Pooja, Bansal, Anshul, Gupta, Sumeet, Dar, Mohammad Ovais, Umar, Ahmad, Kumar, Raman, Kumar, Sushil, Kumar, Hitesh, Alkhanjaf, Abdulrab Ahmed M., Ibrahim, Ahmed A., Baskoutas, Sotirios
Publikováno v:
In Journal of Molecular Structure 5 December 2024 1317
Autor:
Nayak, Bhojkumar, Arattu Thodika, Abdul Raafik, Kumar, Hitesh, Thimmappa, Ravikumar, Ottakam Thotiyl, Musthafa
Publikováno v:
In Journal of Colloid And Interface Science 15 May 2024 662:289-297
Publikováno v:
Legume Research: An International Journal. Mar2024, Vol. 47 Issue 3, p352-360. 9p.
The proper divisor graph $\Upsilon_n$ of a positive integer $n$ is the simple graph whose vertices are the proper divisors of $n$, and in which two distinct vertices $u, v$ are adjacent if and only if $n$ divides $uv$. The graph $\Upsilon_n$ plays an
Externí odkaz:
http://arxiv.org/abs/2005.04441