R. K. Nath

activity

20112021

most citedOn Laplacian energy of non-commuting graphs of finite groups

6 citations · 13 across the 10 of their papers we have counts for

collaborators

22 papers

math.RA2021

Genus of commuting graphs of some classes of finite rings

Walaa Nabil Taha Fasfous, Rajat Kanti Nath

In this paper, we compute the genus of commuting graphs of non-commutative rings of order $p^{4}$ , $p^{5}$ , $p^{2} q$ and $p^{3} q$ , where $p$ and $q$ are prime integers. We also characteriz…

math.GR2020

$g$ -noncommuting graph of a finite group relative to its subgroups

Monalisha Sharma, Rajat Kanti Nath

Let $H$ be a subgroup of a finite non-abelian group $G$ and $g \in G$ . Let $Z (H, G) = {x \in H : x y = y x, \forall y \in G}$ . We introduce the graph $Δ_{H, G}^{g}$ whose vertex set…

math.GR2020

Relative g-noncommuting graph of finite groups

Monalisha Sharma, Rajat Kanti Nath

Let $G$ be a finite group. For a fixed element $g$ in $G$ and a given subgroup $H$ of $G$ , the relative $g$ -noncommuting graph of $G$ is a simple undirected graph whose vertex set…

math.GR2020

Genus of commuting conjugacy class graph of groups

Parthajit Bhowal, Rajat Kanti Nath

For a non-abelian group $G$ , its commuting conjugacy class graph $CCC (G)$ is a simple undirected graph whose vertex set is the set of conjugacy classes of the non-central…

math.GR2020

Spectrum and energies of commuting conjugacy class graph of a finite group

Parthajit Bhowal, Rajat Kanti Nath

In this paper we compute spectrum, Laplacian spectrum, signless Laplacian spectrum and their corresponding energies of commuting conjugacy class graph of the group $G(p, m, n) = \l…

math.GR2020

Spectral aspects of commuting conjugacy class graph of finite groups

Parthajit Bhowal, Rajat Kanti Nath

The commuting conjugacy class graph of a non-abelian group $G$ , denoted by $CCC (G)$ , is a simple undirected graph whose vertex set is the set of conjugacy classes of the…

Genus of commuting graphs of some classes of finite rings

g-noncommuting graph of a finite group relative to its subgroups

Relative g-noncommuting graph of finite groups

Genus of commuting conjugacy class graph of groups

Spectrum and energies of commuting conjugacy class graph of a finite group

Spectral aspects of commuting conjugacy class graph of finite groups

$g$ -noncommuting graph of a finite group relative to its subgroups