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On the power graph of a monogenic semigroup

Web30 de out. de 2024 · The directed power graph \vec { {\mathcal {G}}} (S) of a semigroup S is a directed graph with the set S of vertices and with all edges ( u , v) such that u\ne v … Web1 de abr. de 2024 · In [26, 27], the authors exhibited that the Sombor index can be an integer in several graph structures. In monogenic semigroup graphs, it is seen that it is not possible for the Sombor index to ...

Some properties on the lexicographic product of graphs obtained …

WebKeywords: finite groups; direct product; power graphs; product of graphs; isomorphism. AMS Subject Classifications: 05C25 1 Introduction The directed power graph of a semigroup was defined by Kelarev and Quinn [6]. Then Chakraborty et. al [3] defined the undirected power graph P(S) of a semigroup S as the graph with vertex set S Web11 de fev. de 2013 · Theorem 1 For any monogenic semigroup S M as given in (1), the diameter of the graph Γ (S M) is 2. Proof It is clear that the vertex x of Γ ( S M ) is … eli thomas obit https://kioskcreations.com

Sombor Index over the Tensor and Cartesian Products of Monogenic …

Web1 de dez. de 2013 · In previous studies, The Cartesian product, the lexicographic product, the strong product, the disjunctive product and the corona product of monogenic … Web24 de nov. de 2024 · The cyclic graph of a semigroup S is the simple graph whose vertex set is S and two distinct elements x and y are adjacent if \langle x, y \rangle is a monogenic subsemigroup of S. Afkhami et al. [ 2] studied graph-theoretic properties of the cyclic graph on a finite semigroup including its domination number, independence number, and genus. Web25 de jul. de 2024 · Sandeep Dalal, Jitender Kumar, Siddharth Singh. The enhanced power graph of a semigroup is a simple graph whose vertex set is and two vertices are … eli thomas hutchinson

Line Graphs of Monogenic Semigroup Graphs - Academia.edu

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On the power graph of a monogenic semigroup

On the power graph of a monogenic semigroup Discrete …

WebLet us consider the finite monogenic semigroup SM with zero having elements {x,x2,x3,…,xn}. There exists an undirected graph Γ(SM) associated with SM whose vertices are the non-zero elements x,x2,x3,…,xn and, f or 1≤i,j≤n, any two distinct vertices xi and xj are adjacent if i+j>n.In this paper, the diameter, girth, maximum and minimum degrees, … Web25 de jul. de 2024 · Abstract: The enhanced power graph $\mathcal P_e(S)$ of a semigroup $S$ is a simple graph whose vertex set is $S$ and two vertices $x,y \in S$ …

On the power graph of a monogenic semigroup

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Web1 de abr. de 2024 · The perfectness of monogenic semigoups have been found in [9] then we have found the perfectness of dot product graph of monogenic semigroups. … WebAbstract. The cyclic graph Γ(S) of a semigroup Sis the simple graph whose vertex set is Sand two vertices x,yare adjacent if the subsemigroup generated by xand yis …

WebAbstract. In this paper, we consider various graphs, namely: power graph, cyclic graph, enhanced power graph and commuting graph, on a nite semigroup S. For an arbitrary … Web15 de nov. de 2024 · Abstract. Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined as. In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated. 1. Introduction and Preliminaries. The monogenic semigroup graph is …

Web4 de fev. de 2024 · Let G be a semigroup. The vertices of the power graph {\mathcal {P}} (G) are the elements of G, and two elements are adjacent if and only if one of them is a … Web31 de out. de 2024 · Our main aim is to extend this study on the special algebraic graphs to the corona product. In this paper, we will determinate some important graph parameters …

Web24 de nov. de 2024 · In this paper, we study various graphs, namely Colon power graph, cyclic graph, enhanced power graph, and commuting graph on a semigroup S. The …

Web25 de jul. de 2024 · The enhanced power graph $\mathcal P_e (S)$ of a semigroup $S$ is a simple graph whose vertex set is $S$ and two vertices $x,y \in S$ are adjacent if and … forbes the walking deadWebOn the power graph of a monogenic semigroup. B Khanra, M Mandal, BD Ghosh. Discrete Mathematics, Algorithms and Applications, 2024. 2024: ... On the Structure Space of a Г-Semigroup Via Its Left Operator Semigroup. SM Goswami, M Mandal, B Khanra. Discussiones Mathematicae-General Algebra and Applications 42 (1), 121-134, 2024. elithosanWebINVERSE SEMIGROUPS ACTING ON GRAPHS. World Scientific Book. Degree 2 transformation semigroups as continuous maps on graphs: Foundations and structure. Stuart Margolis et al., International Journal of Algebra and Computation, 2024. … eli thomas obituary njWeb1 de jan. de 2024 · Abstract. The cyclic graph Γ ( S) of a semigroup S is the simple graph whose vertex set is S, two element being adjacent if the subsemigroup generated by … elith meansWeb13 de set. de 2024 · Abstract The study of the graphical representation of semigroups and groups has become an exciting research area in the past few decades, leading to many … eli thompson baby with no noseWeb(cf. [27, 28]). Shitov [39] proves the chromatic number of the power graph of an infi-nite semigroup is at most countable. Imani et al. [23] proposed a new approach for placing resources in a symmetric network by using the chromatic properties of power graphs. Recall that the undirected power graph of a semigroup S is the simple graph eli thompson md portlandeli thomas happy madison