On the power graph of a monogenic semigroup
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 … Web13 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 …
On the power graph of a monogenic semigroup
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WebOn the power graph of a monogenic semigroup. B Khanra, M Mandal, BD Ghosh. Discrete Mathematics, Algorithms and Applications, 2024. 2024: ... On the Structure Space of a Г-Semigroup Via Its Left Operator Semigroup. SM Goswami, M Mandal, B Khanra. Discussiones Mathematicae-General Algebra and Applications 42 (1), 121-134, 2024. Web15 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 …
WebIn this paper, first we described the structure of $\mathcal P_e(S)$ for an arbitrary semigroup $S$. Consequently, we discussed the connectedness of $\mathcal P_e(S)$. … 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 …
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 ... 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 …
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
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 … dallmayr prodomo im angebot woWeb17 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 … bird b gone plastic bird spikesWebThe 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 … dallmeyer physical therapy santa barbaraWebThe 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 bird b gone optical gelWeb1 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 … dallmer shower drainWebAbstract 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 … dallmeyer triple anastigmat 1inch 25mm f1.9Web27 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, … dallmer shower trap