Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Nath, Rajat"'
Let $G$ be a group. Associate a graph $\mathcal{E}_G$ (called the co-Engel graph of $G$) with $G$ whose vertex set is $G$ and two distinct vertices $x$ and $y$ are adjacent if $[x, {}_k y] \neq 1$ and $[y, {}_k x] \neq 1$ for all positive integer $k$
Externí odkaz:
http://arxiv.org/abs/2408.03879
Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertic
Externí odkaz:
http://arxiv.org/abs/2408.00390
Autor:
Das, Shrabani, Nath, Rajat Kanti
Let $B$ be an equivalence relation defined on a finite group $G$. The $B$ super commuting graph on $G$ is a graph whose vertex set is $G$ and two distinct vertices $g$ and $h$ are adjacent if either $[g] = [h]$ or there exist $g' \in [g]$ and $h' \in
Externí odkaz:
http://arxiv.org/abs/2407.11297
Autor:
Jannat, Firdous Ee, Nath, Rajat Kanti
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 $\{x^G : x \in G \setminus Z(G)\}$ (where $x^G$ denotes the conjugacy class containing $x$) and two distinct
Externí odkaz:
http://arxiv.org/abs/2403.02703
Autor:
Jannat, Firdous Ee, Nath, Rajat Kanti
In this paper, we compute common neighbourhood Laplacian spectrum, common neighbourhood signless Laplacian spectrum and their respective energies of commuting graph of some finite non-abelian groups including some AC-groups, groups whose central quot
Externí odkaz:
http://arxiv.org/abs/2403.01082
In this paper we establish connections between common neighborhood Laplacian and common neighborhood signless Laplacian energies and the first Zagreb index of a graph $\mathcal{G}$. We introduce the concepts of CNL-hyperenergetic and CNSL-hyperenerge
Externí odkaz:
http://arxiv.org/abs/2402.15416
Publikováno v:
Algebra and Discrete Mathematics, Vol. 37, No. 2, 191-214, 2024
In this paper we first show that among all double-toroidal and triple-toroidal finite graphs only $K_8 \sqcup 9K_1$, $K_8 \sqcup 5K_2$, $K_8 \sqcup 3K_4$, $K_8 \sqcup 9K_3$, $K_8\sqcup 9(K_1 \vee 3K_2)$, $3K_6$ and $3K_6 \sqcup 4K_4 \sqcup 6K_2$ can
Externí odkaz:
http://arxiv.org/abs/2401.00993
In this paper we compute first and second Zagreb indices of commuting and non-commuting graphs of finite groups and determine several classes of finite groups such that their commuting and non-commuting graphs satisfy Hansen-Vuki\v{c}evi\'c conjectur
Externí odkaz:
http://arxiv.org/abs/2304.02230
Autor:
Sharma, Monalisha, Nath, Rajat Kanti
The non-commuting graph of a non-abelian group $G$ with center $Z(G)$ is a simple undirected graph whose vertex set is $G\setminus Z(G)$ and two vertices $x, y$ are adjacent if $xy \ne yx$. In this study, we compute Signless Laplacian spectrum and Si
Externí odkaz:
http://arxiv.org/abs/2303.17795
Autor:
Jannat, Firdous Ee, Nath, Rajat Kanti
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 consequence of our results we show that the commuting conjugacy class grap
Externí odkaz:
http://arxiv.org/abs/2208.10206