On the power graph of a monogenic semigroup
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 . Webminimum 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
On the power graph of a monogenic semigroup
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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 … 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, …
Web23 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. WebAutomorphism groups of semigroups of upfamilies. Volodymyr M. Gavrylkiv, Asian-European Journal of Mathematics, 2024. INVERSE SEMIGROUPS ACTING ON GRAPHS. World Scientific Book. Degree 2 transformation semigroups as continuous maps on graphs: Foundations and structure. Stuart Margolis et al., International Journal of Algebra and …
Web24 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 … 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 ...
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) ...
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. … cumberland county job fair 2015WebThe 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 … east ridge high school rotcWeb(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 cumberland county job opportunitiesWeb13 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 … east ridge high school psatWebOn 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. east ridge high school transcript requestWeb17 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 … eastridge mall 1970sWeb17 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 … cumberland county jobs maine