Graph associated with finite groups
WebFeb 24, 2024 · The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices … WebASSOCIATEDWITH A FINITE GROUP ... of many authors is the commuting graph associated with a finite group. For a finite group G and X a non-empty subset of G, the commuting graph on X denoted C(G,X) has X as its vertex-set with x,y ∈ X joined by an edge whenever xy = yx. Many authors have studied C(G,X)
Graph associated with finite groups
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WebMar 9, 2024 · A finite group 𝐺 is normally monomial if all its irreducible characters are induced from linear characters of normal subgroups of 𝐺. ... then a certain graph associated to its conjugacy class that we call the star graph is either disconnected or has a cut vertex. ... In recent work, Cameron, Manna and Mehatari have studied the finite ... WebApr 9, 2024 · Distance matrix of enhanced power graphs of finite groups. The enhanced power graph of a group is the graph with vertex set and edge set . In this paper, we compute the spectrum of the distance matrix of the enhanced power graph of non-abelian groups of order , dihedral groups, dicyclic groups, elementary abelian groups $\El …
WebAug 27, 2024 · Recently, Alfuraidan and Zakariya [ 1] introduced and studied the inverse graphs associated with finite groups. They established some interesting graph-theoretic properties of the inverse graphs of some finite groups which further shed more light on the algebraic properties of the groups. WebWe show that the inverse graph of a finite group is connected if and only if the group has a set of generators whose all elements are non-self-invertible. We also determine the rainbow connection numbers of the inverse graphs of finite groups. ... Inverse graphs associated with finite groups, Electron. J. Graph Theory Appl., 5 (1) (2024), 142 ...
Webis the finite cyclic group of order and the set consists of two elements, the standard generator of and its inverse, then the Cayley graph is the cycle . More generally, the Cayley graphs of finite cyclic groups are exactly the circulant graphs. WebJan 2, 2024 · The Prime Graphs of Some Classes of Finite Groups. Chris Florez, Jonathan Higgins, Kyle Huang, Thomas Michael Keller, Dawei Shen, Yong Yang. In this paper we …
WebNov 14, 2016 · There are different ways to associate to a finite group a certain graph. An interesting question is to analyse the relations between the structure of the group, given in group-theoretical terms, and… Expand 5 View 1 excerpt, references background Commuting Graphs Of Dihedral Type Groups ∗ Z. Raza, Shahzad Faizi Mathematics 2014
WebFeb 19, 2024 · All groups considered in the present paper are supposed to be finite. The solubility graph \Gamma _S (G) associated with a group G is a simple graph whose vertices are the elements of G , and there is an edge between two distinct elements x and y if and only if the subgroup \langle x,y \rangle is soluble. simplicity\u0027s 8qraymond g dodson attorney at lawWebThe solubility graph associated with a finite group G is a simple graph whose vertices are the elements of G, and there is an edge between two distinct elements x and y if and … simplicity\\u0027s 8qWebMar 26, 2024 · The inverse graph associated with as the graph whose vertex set coincides with such that two different vertices and are adjacent iff either or . When is the cyclic group and is the set of non-self-inverse … raymond g colesWebFeb 15, 2024 · Finite Groups Whose Common-Divisor Graph is Regular Part of: Graph theory Representation theory of groups Published online by Cambridge University Press: 15 February 2024 Mehdi Ghaffarzadeh, Mohsen Ghasemi and Mark L. Lewis Show author details Mehdi Ghaffarzadeh Affiliation: simplicity\u0027s 8sWebAbstract Let A be a group acting by automorphisms on the group G. The commuting graph of A-orbits of this action is the simple graph with vertex set , the set of all A-orbits on , where two distinct vertices xA and yA are joined by an edge if and only if there exist and such that . The present paper characterizes the groups G for which is an -graph, that is, a … raymond geddes couponWebDec 20, 2024 · For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct … raymond g dodson attorney