Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$ [PDF]
Journal of Mahani Mathematical ResearchSuppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.
Mohammad Ali Salahshour +1 more
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On Linear Structure of Non-commutative Operator Graphs [PDF]
Lobachevskii Journal of Mathematics, 2019 6 ...
Amosov, G. G., Mokeev, Aleksandr S.
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Quantum Asymptotic Spectra of Graphs and Non-Commutative Graphs, and Quantum Shannon Capacities [PDF]
IEEE Transactions on Information Theory, 2021 We study quantum versions of the Shannon capacity of graphs and non-commutative graphs. We introduce the asymptotic spectrum of graphs with respect to quantum and entanglement-assisted homomorphisms, and we introduce the asymptotic spectrum of non-commutative graphs with respect to entanglement-assisted homomorphisms.
Yinan Li 0004, Jeroen Zuiddam
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On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups
Karpatsʹkì Matematičnì Publìkacìï, 2013 The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$.
Yu.Yu. Leshchenko, L.V. Zoria
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On the Existence of $f$-local Subgroups in a Group with Finite Involution
Известия Иркутского государственного университета: Серия "Математика", 2022 An $f$-local subgroup of an infinite group is each its infinite subgroup with a nontrivial locally finite radical. An involution is said to be finite in a group if it generates a finite subgroup with each conjugate involution.
A.I. Sozutov, M. V. Yanchenko
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Some results on characterization of finite group by non commuting graph [PDF]
Transactions on Combinatorics, 2012 The non commuting graph of a non-abelian finite group $G$ is defined as follows: its vertex set is $G-Z(G)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity.
Mohammad Reza Darafsheh +1 more
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Multi-Head Spatiotemporal Attention Graph Convolutional Network for Traffic Prediction
Sensors, 2023 Intelligent transportation systems (ITSs) have become an indispensable component of modern global technological development, as they play a massive role in the accurate statistical estimation of vehicles or individuals commuting to a particular ...
Ariyo Oluwasanmi +5 more
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The energy and spectrum of non commuting graph
, 2019 15 ...
Nasiri, M., Jafari, S. H.
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Bilangan Kromatik Grap Commuting dan Non Commuting Grup Dihedral
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2015 Commuting graph is a graph that has a set of points X and two different vertices to be connected directly if each commutative in G. Let G non abelian group and Z(G) is a center of G.
Handrini Rahayuningtyas +2 more
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The First Zagreb Index and the Narumi-Katayama Index of the Non-Commuting Graph on the Group U_{6n}
InPrimeThis paper introduces a novel approach to computing the First Zagreb and Narumi–Katayama indices for non-commuting graphs associated with specific algebraic groups, specifically focusing on the group U_{6n}.
Khairatun Hisan +2 more
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