Results 1 to 10 of about 2,330 (164)
On the Commuting Graph of Semidihedral Group [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 The commuting graph $Δ(G)$ of a finite non-abelian group $G$ is a simple graph with vertex set $G$ and two distinct vertices $x, y$ are adjacent if $xy = yx$. In this paper, among some properties of $Δ(G)$, we investigate $Δ(SD_{8n})$ the commuting graph of the semidihedral group $SD_{8n}$.
Jitender Kumar +2 more
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On the non-commuting graph of dihedral group [PDF]
Electronic Journal of Graph Theory and Applications, 2020 For a nonabelian group G, the non-commuting graph Γ of G is defined as the graph with vertex-set G-Z(G), where Z(G) is the center of G, and two distinct vertices of Γ are adjacent if they do not commute in G.
Sanhan Muhammad Salih Khasraw +2 more
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Non-commuting graph of a group
Journal of Algebra, 2006 The non-commuting graph \(\Gamma_G\) of a non-Abelian group \(G\) is defined as follows. The vertex set of \(\Gamma_G\) is \(V(G)=G-Z(G)\) and two vertices \(x\) and \(y\) are joined by an edge if and only if \(xy\neq yx\). This graph was first defined by P. Erdős which is quoted by \textit{B. H. Neumann} [J. Aust. Math. Soc., Ser. A 21, 467-472 (1976;
Alireza Abdollahi, Saieed Akbari
exaly +3 more sources
International Journal of Applied Earth Observations and GeoinformationAccurately estimating commuting flow is essential for optimizing urban planning and traffic design. The latest graph neural network (GNN) model with the encoder-decoder-predictor components has several limitations.
Qingli Shi +3 more
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Commuting conjugacy classes graph of the generalized dihedral and dicyclic groups [PDF]
ریاضی و جامعه, 2023 Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a simple graph with the non-central conjugacy classes of $G$ as its vertex set. Two different non-central conjugacy classes $A$ and $B$ are assumed to be adjacent if and only if there are ...
Mohammadali Salahshour
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Graphs of commutatively closed sets [PDF]
Linear and Multilinear Algebra, 2021 The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively closed subsets of a ring with the help of graph theory. A particular attention is paid to constructions of subsets of
Leroy, André, Abdi, Mona
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Commuting Conjugacy Class Graph of G when G / Z(G)~=D2n [PDF]
Mathematics Interdisciplinary Research, 2020 Suppose G is a finite non-abelian group and Γ(G) is a simple graph with the non-central conjugacy classes of G as its vertex set. Two different noncentral conjugacy classes C and B are assumed to be adjacent in Γ(G) if and only if there are elements a ...
Mohammad Ali Salahshour
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Journal of Group Theory, 2020 Abstract Let 𝐴 be a finite group acting by automorphisms on the finite group 𝐺. We introduce the commuting graph Γ (
Guloglu, Ismail S., Ercan, Gulin
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Some structural graph properties of the non-commuting graph of a class of finite Moufang loops
Electronic Journal of Graph Theory and Applications, 2020 For any non-abelian group G, the non-commuting graph of G, Γ=ΓG, is a graph with vertex set G \ Z(G), where Z(G) is the set of elements of G that commute with every element of G and distinct non-central elements x and y of G are joined by an edge if and ...
Hamideh Hasanzadeh Bashir +1 more
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Spectral properties of the commuting graphs of certain groups
AKCE International Journal of Graphs and Combinatorics, 2019 Let G be a finite group. The commuting graph Γ=C(G)is a simple graph with vertex set G and two vertices are adjacent if and only if they commute with each other.
M. Torktaz, A.R. Ashrafi
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