On the power graph of a monogenic semigroup

Author: atma

August undefined, 2024

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 ... 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 …

Solutions to Some Open Problems About Four Sombor–Index–Like Graph …

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 … 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. immigrating to uk from south africa

On the dot product of graphs over monogenic semigroups

Web17 de abr. de 2024 · Let be a monogenic semigroup graph. Then, the diameter of is Proof. The proof can be obtained in a similar way as in the proof of Theorem 1. We recall that … 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 … immigrating to usa from philippines

On a graph of monogenic semigroups SpringerLink

Chromatic Number of the Cyclic Graph of Infinite Semigroup

Web1 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 … Web13 de mai. de 2013 · In (Das et al. in J. Inequal. Appl. 2013:44, 2013), a new graph Γ ( S M ) on monogenic semigroups S M (with zero) having elements { 0 , x , x 2 , x 3 , … , x n } was recently defined. The vertices are the non-zero elements x , x 2 , x 3 , … , x n and, for 1 ≤ i , j ≤ n , any two distinct vertices x i and x j are adjacent if x i x j = 0 in S M . As a … immigration 1-13a application formWeb24 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 … immigrating with a dog

"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 … " - On the power graph of a monogenic semigroup

On the power graph of a monogenic semigroup

Some graph parameters on the strong product of monogenic semigroup graphs

WebThe 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 WebAbstractThe 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 these two elements is monogenic. The purpose of this note is to prove that the chromatic number of Γ(S) ...

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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 … 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 …

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 ... 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 …

Webmonogenic 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. 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 Let S M = { 0, x, x 2, …, x n } be a monogenic semigroup with zero. Here, we consider the power graph 𝒫 ( 𝒮 M) over 𝒮 M with vertex set 𝒮 M ∗ = 𝒮 M ∖ { 0 } and two distinct …

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, … immigrating to usa from south africaWeb13 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 … list of sunflower oil brands in indiaWeb15 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 … immigrating to us from canadaWebminimum 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 list of sunderland playersWeb17 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 … list of sundown towns in georgia 2021Web30 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 … immigration 101 sanctuary citiesWeb23 de mai. de 2024 · A finite multiplicative monogenic semigroup (with zero) is given below (1) in which the authors put into effect in [ 2 ]. Whilst the graph is specified by modifying the adjacent rule of vertices and sticking to the original stance. The vertices of include all elements in , except zero. immigration 130 online application