On the power graph of a monogenic semigroup

Author: cnij

August undefined, 2024

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 $x,y \in S$ … 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 …

[2107.11793] On The Enhanced Power Graph of a Semigroup

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, … 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 … small cetacean crossword clue

[2107.11021v1] The cyclic graph of a semigroup - arXiv.org

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 … 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 … 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 … small chad

Nirmala and Banhatti-Sombor Index over Tensor and Cartesian …

(PDF) A Survey on Power Graphs of Semigroups - ResearchGate

Web(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 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 … small cesspoolWeb17 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 . somerton beach in adelaide

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

On the power graph of a monogenic semigroup

$arXiv:1606.07258v1 [math.CO] 23 Jun 2016$

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. 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 …

Did you know?

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 … 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 ...

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. … 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) ...

WebIn this paper, first we described the structure of $\mathcal P_e(S)$ for an arbitrary semigroup $S$. Consequently, we discussed the connectedness of $\mathcal P_e(S)$. … 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.

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 …

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 … somerton district 11Web4 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 small cetaceansWeb15 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 … somerton district officeWeb23 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. somerton cheshireWeb24 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 … somerton electric bike rentalWeb15 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 … small chain binders tractor supplyWeb1 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 ... somerton high school yuma