On the power graph of a monogenic semigroup
Web17 de abr. de 2024 · On the contrary, the minimum eccentricity is called the radius [16, 17] of and denoted by Theorem 1. Let be a monogenic semigroup graph. Then, the radius … Web17 de abr. de 2024 · The concept of monogenic semigroup graphs is firstly introduced by Das et al. (2013) based on zero divisor graphs. In this study, we mainly discuss the some graph properties over the line graph of .
On the power graph of a monogenic semigroup
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Webminimum degree etc. of monogenic semigroup graphs have been established. Now, we will establish these properties for strong product of monogenic semigroup graphs. With this idea, it is defined the strong product G G 1 2 of any two simple graphs G 1 and G 2 which has the vertex set V G V G( ) ( ) 1 2× such that any two vertices u u u= ,( ) 1 2 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 …
Web15 de abr. de 2024 · In [15], it has been recently defined a new graph $\Gamma ({% \mathcal{S}}_{M})$ on monogenic semigroups ${\mathcal{S}}_{M}$ (with zero) having …
WebThe monogenic semigroup generated by the singleton set { a } is denoted by . The set of elements of is { a, a2, a3, ...}. There are two possibilities for the monogenic semigroup … 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 …
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 $x,y \in S$ …
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 … how do i get my company on google mapsWebautomata theory (see [9,11] and the books [7,10]). The power graph Pow(S) of a semigroup S is an undirected simple graph whose vertex set is S and two vertices a,b ∈ S are adjacent if one of them is power of other (see [5]). The enhanced power graph Pe(S) of a semigroup S is the simple graph whose vertex set is S and two B Jitender Kumar ... how do i get my comcast passwordWeb23 de jul. de 2024 · Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% of your contribution will fund improvements and new initiatives to … how do i get my complimentary sam\u0027s club cardWebObviously, if D is a null graph, that is, a graph without edges, then all semigroups are power £>-saturated. THEOREM 1. Let (V, D E) - be a directed graph with E ^ 0, K a … how do i get my computer off sleep modeWeb25 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 … how do i get my company name on google searchWebLet 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, … how much is the new maddenWeb27 de jun. de 2024 · For any monogenic semigroup and ,the Sombor index over tensor product of two monogenic semigroup graph isIn the formula given above, the numbers ,and ,will be taken in accordance with the rules and . Proof. The proof is similar to the calculation of the Nirmala index of the tensor product of monogenic semigroup graphs, … how do i get my computer back online