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 … WebIn this paper, first we described the structure of $\mathcal P_e(S)$ for an arbitrary semigroup $S$. Consequently, we discussed the connectedness of $\mathcal P_e(S)$. …
A Further Note on the Graph of Monogenic Semigroups
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. 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 … cannot match any routes. url segment: code
A Further Note on the Graph of Monogenic Semigroups
WebDownloadable! 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, … WebKeywords: finite groups; direct product; power graphs; product of graphs; isomorphism. AMS Subject Classifications: 05C25 1 Introduction The directed power graph of a semigroup was defined by Kelarev and Quinn [6]. Then Chakraborty et. al [3] defined the undirected power graph P(S) of a semigroup S as the graph with vertex set S 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 cannot match any routes. url segment: login