Analysing the structure of A4-graphs for Mathieu groups
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Publication Date
Sun May 16 2021
Journal Name
Graphs And Combinatorics
Commuting Involution Graphs for Certain Exceptional Groups of Lie Type
Abstract<p>Suppose that <italic>G</italic> is a finite group and <italic>X</italic> is a <italic>G</italic>-conjugacy classes of involutions. The commuting involution graph <inline-formula><alternatives><tex-math>$${\mathcal {C}}(G,X)$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mrow>
<mi>C</mi>
<mo>(</mo>
<mi>G</mi>
<mo>,</mo>
<mi>X</mi>
<mo>)</mo>
</mrow>
</math></alternatives></inline-formula> is</p>
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(4)
(1)
Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Studying the result involution graphs for HS and McL Leech lattice groups
Let G be a finite group, the result is the involution graph of G, which is an undirected simple graph denoted by the group G as the vertex set and x, y ∈ G adjacent if xy and (xy)2 = 1. In this article, we investigate certain properties of G, the Leech lattice groups HS and McL. The study involves calculating the diameter, the radius, and the girth of ΓGRI.
(3)
Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
A4-graph for the twisted group 3D4 (3)
Assume that G is a finite group and X = tG where t is non-identity element with t3 = 1. The simple graph with node set being X such that a, b ∈ X, are adjacent if ab-1 is an involution element, is called the A4-graph, and designated by A4(G, X). In this article, the construction of A4(G, X) is analyzed for G is the twisted group of Lie type 3D4(3).
Publication Date
Tue Aug 05 2025
Journal Name
Al-adab Journal
Publication Date
Sat Apr 21 2012
Journal Name
Arabian Journal For Science And Engineering
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(5)
Publication Date
Thu Feb 17 2022
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
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(4)
Publication Date
Thu May 06 2010
Journal Name
Journal Of Engineering
Publication Date
Thu Feb 17 2022
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
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(2)
Publication Date
Wed Mar 01 2023
Journal Name
Baghdad Science Journal
Quotient Energy of Zero Divisor Graphs And Identity Graphs
Commutative ring
Identity Graphs
Quotient energy
Quotient matrix
Zero-Divisor Graphs
Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph make up the graph's quotient energy. The objective of this study is to examine the quotient energy of identity graphs and zero-divisor graphs of commutative rings using group theory, graph theory, and applications. In this study, the identity graphs derived from the group and a few classes of zero-divisor graphs of the commutative ring R are examined.
(2)
Publication Date
Sun Aug 15 2021
Journal Name
Al-qadisiyah Journal Of Pure Science Vol.(26) Issue (special Issue Num.4) (2021) Pp. 27–30