On the power graph of a monogenic semigroup

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August undefined, 2024

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 ... WebThe Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0 …

[2107.11021] The cyclic graph of a semigroup - arXiv.org

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 … Web1 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 … bishops family bikes

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WebObviously, 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 … Webautomata 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 ... 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 power of the other. We show that the chromatic number of {\mathcal {P}} (G) is at most countable, answering a recent question of Aalipour et al. 1 Introduction darksiders 2 soul arbiter scroll

On The Enhanced Power Graph of a Semigroup - ResearchGate

Power graphs and semigroups of matrices - Cambridge

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 … 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 … darksiders 2 soul arbiter\u0027s scroll locationsWebLet 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, … bishops falun

"WebThe 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 only if $x, y \in … " - On the power graph of a monogenic semigroup

On the power graph of a monogenic semigroup

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 Web23 de jul. de 2024 · The cyclic graph of a semigroup is the simple graph whose vertex set is and two vertices are adjacent if the subsemigroup generated by and is monogenic. In this paper, we classify the semigroup such that whose cyclic graph is complete, bipartite, tree, regular and a null graph, respectively.

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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 … 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 . Web27 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, …

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 … WebDownloadable! 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 . In detail, we prove the existence of graph parameters, namely, radius, diameter, girth, maximum degree, minimum degree, chromatic number, …

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 …

WebIn this paper, first we described the structure of $\mathcal P_e(S)$ for an arbitrary semigroup $S$. Consequently, we discussed the connectedness of $\mathcal P_e(S)$. … darksiders 2 soul arbiter\u0027s scrollWeb4 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 … bishops familyWeb15 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 … darksiders 2 soul arbiter\\u0027s scrollWeb1 de jun. de 2024 · Abstract. For a semigroup S, let L and R denote the left and the right Green relation on S, respectively.Let S and T be two completely simple semigroups such that their H-classes are abelian groups.As the main result in this note, using Cameron and Ghosh’s theorem about power graphs of abelian groups, we show that S and T are … darksiders 2 sticks and stones rewardWeb30 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 … bishops family restaurantWebmonogenic inverse semigroup, and he did this by investigating what equations could hold connecting two of the elementku'vs vm. The existence of the model GA shows that all the elementku!vm,s satisfyin v g (1.2), may be distinct. It follows that, since there is a free inverse semigroup on one generator, GA is this free inverse semigroup. darksiders 2 sticks and stones locationsWeb24 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 … darksiders 2 soul arbiter\\u0027s scroll locations