Results 21 to 30 of about 2,044 (191)
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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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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The Non-Commuting, Non-Generating Graph of a Nilpotent Group [PDF]
The Electronic Journal of Combinatorics, 2021 For a nilpotent group $G$, let $\Xi(G)$ be the difference between the complement of the generating graph of $G$ and the commuting graph of $G$, with vertices corresponding to central elements of $G$ removed. That is, $\Xi(G)$ has vertex set $G \setminus Z(G)$, with two vertices adjacent if and only if they do not commute and do not generate $G ...
Peter J. Cameron +2 more
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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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COMMON NEIGHBOURHOOD SPECTRUM AND ENERGY OF COMMUTING CONJUGACY CLASS GRAPH [PDF]
Journal of Algebraic Systems, 2023 In this paper, we compute the common neighbourhood (abbreviated as CN) spectrum and the common neighbourhood energy of commuting conjugacy class graph of several families of finite non-abelian groups.
Firdous Jannat, Rajat Nath
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Tensors, !-graphs, and non-commutative quantum structures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 Categorical quantum mechanics (CQM) and the theory of quantum groups rely heavily on the use of structures that have both an algebraic and co-algebraic component, making them well-suited for manipulation using diagrammatic techniques. Diagrams allow us to easily form complex compositions of (co)algebraic structures, and prove their equality via graph ...
Aleks Kissinger, David Quick
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Complexity and non-commutativity of learning operations on graphs [PDF]
Biosystems, 2006 We present results from numerical studies of supervised learning operations in recurrent networks considered as graphs, leading from a given set of input conditions to predetermined outputs. Graphs that have optimized their output for particular inputs with respect to predetermined outputs are asymptotically stable and can be characterized by ...
Atmanspacher, H., Filk, T.
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On the eigenvalues of non-commuting graphs [PDF]
Algebraic structures and their applications, 2017 The non-commuting graph $Gamma(G)$ of a non-abelian group $G$ with the center $Z(G)$ is a graph with thevertex set $V(Gamma(G))=Gsetminus Z(G)$ and two distinct vertices $x$ and $y$ are adjacent in $Gamma(G)$ if and only if $xy neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.
Ghorbani, Modjtaba +2 more
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Mostar index of graphs associated to groups
Main Group Metal Chemistry, 2022 A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as ...
Rehman Masood Ur +4 more
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Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups
Molecules, 2022 A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule.
Fawad Ali +5 more
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