Firdous Ee Jannat

activity

20222025

collaborators

6 papers

math.CO2025

Various spectral aspects of NCCC-graphs of certain finite non-abelian groups

Rishabh Chakraborty, Firdous Ee Jannat, Rajat Kanti Nath

Let $G$ be a finite non-abelian group. The non-commuting conjugacy class graph (abbreviated as NCCC-graph) of $G$ is a simple undirected graph whose vertex set is the set of conj…

math.GR2024

A survey on conjugacy class graphs of groups

P. J. Cameron, F. E. Jannat, R. K. Nath +1

There are several graphs defined on groups. Among them we consider graphs whose vertex set consists conjugacy classes of a group $G$ and adjacency is defined by properties of the e…

math.GR2024

Common neighborhood (signless) Laplacian spectrum and energy of CCC-graph

Firdous Ee Jannat, Rajat Kanti Nath

In this paper, we consider commuting conjugacy class graph (abbreviated as CCC-graph) of a finite group $G$ which is a graph with vertex set ${x^{G} : x \in G ∖ Z (G)}$ (whe…

math.GR2024

Common neighborhood Laplacian and signless Laplacian spectra and energies of commuting graphs

Firdous Ee Jannat, Rajat Kanti Nath

In this paper, we compute common neighbourhood Laplacian spectrum, common neighbourhood signless Laplacian spectrum and their respective energies of commuting graph of some finite…

math.CO2024

Common neighborhood energies and their relations with Zagreb index

Firdous Ee Jannat, Rajat Kanti Nath, Kinkar Chandra Das

In this paper we establish connections between common neighborhood Laplacian and common neighborhood signless Laplacian energies and the first Zagreb index of a graph $G$ …

math.GR2022

Common neighbourhood spectrum and energy of commuting conjugacy class graph

Firdous Ee Jannat, Rajat Kanti Nath

In this paper we compute common neighbourhood (abbreviated as CN) spectrum and energy of commuting conjugacy class graph of several families of finite non-abelian groups. As a cons…