On the enhanced power graph of a semigroup
Web8 de abr. de 2024 · The enhanced power graph 𝒢 e ( G) of a group G is the graph with vertex set G such that two vertices x and y are adjacent if they are contained in the same … 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.
On the enhanced power graph of a semigroup
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WebThe enhanced power graph Γ G e of G is the graph with vertex set G and two distinct vertices are adjacent if they generate a cyclic subgroup of G. In this article, we calculate ... Undirected power graphs of semigroups, Semigroup Forum 78 (2009), 410–426. G. Chartrand, G.L. Johns, K.A. McKeon and P. Zhang, Rainbow connection in graphs, Math. Web3 Enhanced power hypergraphs Before turning to the power hypergraphs, we will brie y outline the enhanced power hypergraphs, bearing the same relation to the power hypergraphs as the enhanced power graphs (de ned in [1]) to the power graphs (de ned in [2]). Let Sbe a semigroup. The enhanced power hypergraph EPow H(S) of Sis an undi-
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. 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 …
WebLet D be a directed graph. We say that an infinite semigroup 5 is power D-saturated if and only if, for every infinite subset T of 5, the power graph of S has a subgraph isomorphic … 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 …
Web25 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …
great warrior trailWebgraph, 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, … great warriors pathWeb1 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. florida law re no use of seat beltsWeb14 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, … great warriors of historyWeb24 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 … florida law re housing developmentsWebThe 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 hzi is … great warriors throughout historyWeb25 de jul. de 2024 · Published 25 July 2024. Mathematics. The enhanced power graph Pe (S) of a semigroup S is a simple graph whose vertex set is S and two vertices x, y ∈ S … florida law renters rights livable conditions