Zobrazeno 1 - 10
of 372
pro vyhledávání: '"REDDY, A. SATYANARAYANA"'
A cyclic subgroup graph of a group $G$ is a graph whose vertices are cyclic subgroups of $G$ and two distinct vertices $H_1$ and $H_2$ are adjacent if $H_1\leq H_2$, and there is no subgroup $K$ such that $H_1
Externí odkaz:
http://arxiv.org/abs/2409.13796
For a group $G,$ the generating graph of $G,$ denoted by $\Gamma(G).$ We define $Q_n=\langle x,y: x^{2n}=y^4=1, x^n=y^2,y^{-1}xy=x^{-1}\rangle,$ the dicyclic group of order $4n.$ This paper primarily delves into exploring the graph characteristics an
Externí odkaz:
http://arxiv.org/abs/2406.05157
Publikováno v:
Proceedings of the Jangjeon Mathematical Society, 2023
Let $N(X)$ be the Laplacian matrix of a directed graph obtained from the edge adjacency matrix of a graph $X.$ In this work, we study the bipartiteness property of the graph with the help of $N(X).$ We computed the spectrum of the edge Laplacian matr
Externí odkaz:
http://arxiv.org/abs/2309.15841
Let $X$ be a tree with $n$ vertices and $L(X)$ be its line graph. In this work, we completely characterize the trees for which the algebraic connectivity of $L(X)\times K_m$ is equal to $m-1$, where $\times$ denotes the Kronecker product. We provide
Externí odkaz:
http://arxiv.org/abs/2308.06040
For a group $G$, the generating graph $\Gamma(G)$ is defined as the graph with the vertex set $G$, and any two distinct vertices of $\Gamma(G)$ are adjacent if they generate $G$. In this paper, we study the generating graph of $D_n,$ where $D_n$ is a
Externí odkaz:
http://arxiv.org/abs/2307.11802
Publikováno v:
Communications in Algebra, 2024
A word $w$ in a free group is {\em achiral} if for every group $G,$ $G_w=G_{w^{-1}},$ where $G_w$ is the image of the word map $w$ on $G.$ We will give few classes of examples of achiral words. Cocke and Ho asked whether Engel words are achiral or no
Externí odkaz:
http://arxiv.org/abs/2302.02761
A group is $n$-cyclic if it has exactly $n$ cyclic subgroups. In this paper, we classify $11$-cyclic groups and $12$-cyclic groups.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/2210.11788
A group $G$ of order $n$ is said to be an ACLT (CCLT) group, if for every divisor $d$ of $n,$ where $d
Externí odkaz:
http://arxiv.org/abs/2208.01415
Let $L(X)$ be the line graph of graph $X$. Let $X^{\prime\prime}$ be the Kronecker product of $X$ by $K_2$. In this paper, we see that $L(X^{\prime\prime})$ is a double cover of $L(X)$. We define the symmetric edge graph of $X$, denoted as $\gamma(X)
Externí odkaz:
http://arxiv.org/abs/2202.04756
Publikováno v:
IEEE Signal Processing Letters, Volume: 26, Issue: 2, Feb. 2019
This letter introduces a real valued summation known as Complex Conjugate Pair Sum (CCPS). The space spanned by CCPS and its one circular downshift is called {\em Complex Conjugate Subspace (CCS)}. For a given positive integer $N\geq3$, there exists
Externí odkaz:
http://arxiv.org/abs/2106.10710