On the power graph of a monogenic semigroup

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August undefined, 2024

Web23 de jul. de 2024 · Please join the Simons Foundation and our generous member organizations in supporting arXiv during our giving campaign September 23-27. 100% of your contribution will fund improvements and new initiatives to … WebThe enhanced power graph Pe(S) of a semigroup S is a simple graph whose vertex set is S and two vertices x;y 2 S are adjacent if and only if x;y 2 hzi for some z 2 S, where …

On the Connectivity and Equality of Some Graphs on Finite

Web24 de nov. de 2024 · The cyclic graph of a semigroup S is the simple graph whose vertex set is S and two distinct elements x and y are adjacent if \langle x, y \rangle is a monogenic subsemigroup of S. Afkhami et al. [ 2] studied graph-theoretic properties of the cyclic graph on a finite semigroup including its domination number, independence number, and genus. 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 … how to remove yeade

On the power graph of a monogenic semigroup Discrete …

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 … 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, … 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 … norpro stainless steel bag clip

Line Graphs of Monogenic Semigroup Graphs - Hindawi

Chromatic Number of the Cyclic Graph of Infinite Semigroup

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 ... 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 … norpro silicone egg poacher instructionsWebDownloadable! 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, … norpro stainless steel juicer tsc

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

On the power graph of a monogenic semigroup

ON THE CORONA PRODUCT OF MONOGENIC 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 … 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 $x,y \in S$ …

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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 . 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.

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 … 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 …

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 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

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 …

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 … norpro stainless steel scoopWebThe 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 … norr1rough dining table reviewWeb1 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 … how to remove year in excel dateWeb1 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 ... norpro stainless steel sprayer misterWeb24 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 … how to remove yarrow from lawnWeb13 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 … nor-rackWeb(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 norquain skeleton watch for sale