site stats

On the enhanced power graph of a semigroup

Web1 de mar. de 2024 · Abstract. The enhanced power graph of a finite group G, denoted by P_E (G), is a simple undirected graph whose vertex set is G and two distinct vertices x, y are adjacent if x, y \in \langle z \rangle for some z \in G. In this article, we determine all finite groups such that the minimum degree and the vertex connectivity of P_E (G) are equal. Web3 de jan. de 2024 · This paper deals with the vertex connectivity of enhanced power graphs of finite groups. We classify all abelian groups G such that the vertex …

‪Sandeep Dalal‬ - ‪Google Scholar‬

WebA rainbow path in an edge-colored graph G is a path that every two edges have different colors.The minimum number of colors needed to color the edges of G such that every two distinct vertices are connected by a rainbow path is called the rainbow connection number of G.Let (Γ, *) be a finite group with T Γ = {t ∈ Γ t ≠ t −1}. Web1 de mar. de 2024 · Abstract. The enhanced power graph of a finite group G, denoted by P_E (G), is a simple undirected graph whose vertex set is G and two distinct vertices x, … toyota tampa used cars https://flowingrivermartialart.com

Power graphs and semigroups of matrices - Cambridge

WebMany researchers have contributed towards the understanding of power graphs of groups, especially after 2010. In 2013, Abawajy et al. [Citation 2], made a survey about the … WebThe enhanced power graph of a finite group G is the graph whose vertex set is G, and two distinct vertices are adjacent if they generate a cyclic subgroup of G. ... Chakrabarty, S. Ghosh and M. K. Sen , Undirected power graphs of semigroups, Semigroup Forum 78 (2009) 410–426. Web14 de abr. de 2024 · For car dealerships, the Knowledge Graph can significantly enhance their online visibility by displaying essential details such as location, contact information, … toyota tamworth

On the Connectivity and Equality of Some Graphs on Finite

Category:Undirected power graphs of semigroups SpringerLink

Tags:On the enhanced power graph of a semigroup

On the enhanced power graph of a semigroup

On the Connectivity and Independence Number of Power Graphs …

Webgraph, cyclic graph, enhanced power graph and commuting graph on a nite semigroup S, we provide a necessary and su cient condition on Ssuch that it is complete. In Section 4, … Web25 de jul. de 2024 · The enhanced power graph P e (S) of a semigroup S is a simple graph whose vertex set is S and t wo vertices x, y ∈ S are adjacent if and only if x, y ∈ h …

On the enhanced power graph of a semigroup

Did you know?

Web1 de mar. de 2024 · Search ACM Digital Library. Search Search. Advanced Search Web17 de out. de 2024 · Enhanced Power Graphs of Finite Groups. The enhanced power graph of a group is the graph with vertex set such that two vertices and are adjacent if they are contained in a same cyclic subgroup. We prove that finite groups with isomorphic enhanced power graphs have isomorphic directed power graphs. We show that any …

Web31 de mar. de 2024 · Let G be a group. The power graph of G is a graph with vertex set G in which two distinct elements x, y are adjacent if one of them is a power of the other. We characterize all groups whose power graphs have finite independence number, show that they have clique cover number equal to their independence number, and calculate this … Web25 de jul. de 2024 · The enhanced power graph P e ( S) of a semigroup S is a simple graph whose vertex set is S and two vertices x, y ∈ S are adjacent if and only if x, y ∈ z …

Web1 de jun. de 2024 · In this paper it is proved that, if two groups have isomorphic power graphs, then they have isomorphic enhanced power graphs too. A sufficient condition … Web9 de abr. de 2024 · of graphs, such as power graph [1, 2] and enhanced power graph [3] of a group has been introduced to explore the prop erties of algebraic structures using graph theory.

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 purpose of this paper is twofold. First, we study the interconnection between the diameters of these graphs on semigroups having one idempotent. Consequently, the results on the …

Web25 de jul. de 2024 · The enhanced power graph P e ( S) of a semigroup S is a simple graph whose vertex set is S and two vertices x, y ∈ S are adjacent if and only if x, y ∈ z for some z ∈ S, where z is the subsemigroup generated by z. In this paper, first we described the structure of P e ( S) for an arbitrary semigroup S. Consequently, we discussed the ... toyota tamworth serviceWeb22 de jul. de 2024 · begin with an example of a semigroup whose cyclic graph and enhanced power graphs are not equal. Example 4.1. Let S = M (3 , 2) = { a, a 2 , a 3 , a … toyota tamworth country music festivalWeb25 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … toyota tamworth nsw