R. K. Nath

activity

20102026

most citedFinite groups whose commuting graphs are integral

12 citations · 42 across the 47 of their papers we have counts for

collaborators

Showing 2020Show all

6 papers · 1 filter

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…

math.GR2020★ 2 cited

Spectrum and energy of non-commuting graphs of finite groups

Walaa Nabil Taha Fasfous, Rajat Kanti Nath

Let $G$ be a finite non-abelian group and $Γ_{n c} (G)$ be its non-commuting graph. In this paper, we compute spectrum and energy of $Γ_{n c} (G)$ for certain classes of finite groups.…

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

Spectrum and energy of non-commuting graphs of finite groups

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