On the power graph of a monogenic semigroup
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 …
On the power graph of a monogenic semigroup
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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 … 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 $x,y \in S$ …
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 … 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
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 . 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 …
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 …
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 … florist in beatrice neWeb27 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, … great women\u0027s winter coatsWebautomata 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 ... great women quotesWeb23 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. florist in beebe arWebThe 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 florist in bedford heights ohioWeb15 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 … great women in the bibleWebmonogenic 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. great women\u0027s t shirts