On the enhanced power graph of a semigroup
Web17 de ago. de 2024 · Given a group G, the enhanced power graph of G, denoted by 풢e(G), ... Chromatic Number of the Cyclic Graph of Infinite Semigroup. Sandeep Dalal and Jitender Kumar. 16 November 2024 Graphs and Combinatorics, Vol. 36, No. 1. Recommended Vol. 17, No. 08 WebIn addition to enhanced power graph, other variants of power graphs have been considered recently, see [4, 6]. The cyclic graph of a semigroup S is a graph whose vertex set is S and two vertices u and v are adjacent if hu,vi = hwi for some w ∈ S. It can be observed that the notion of enhanced power graph and cyclic graph coincide when S is …
On the enhanced power graph of a semigroup
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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 … 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 …
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 … Web22 de jul. de 2024 · In this paper, we define and study the cyclic graph ΓS of a finite semigroup S. We obtain some graph theoretical properties of ΓS including its dominating …
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. Webthe power graph and the enhanced power graph of a group, arXiv 1603.04337. I Peter J. Cameron, The power graph of a finite group II, J. Group Theory 13 (2010), 779–783. I Peter J. Cameron, Andrea Lucchini and Colva M. Roney-Dougal, Generating sets of finite groups, arXiv 1609.06077. I A. V. Kelarev and S. J. Quinn, A combinatorial property
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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. iron rich lunch foodsWebThe 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 … iron rich lunch recipesport royal golf course southampton berWebThe power graph of G is the undirected graph whose vertex set is G, ... R. Nikandish and F. Shaveisi, On the structure of the power graph and the enhanced power graph of a group, Electron. J. Combin. 24 (2024) #P3.16. Crossref, ISI, ... S. Ghosh and M. K. Sen, Undirected power graphs of semigroups, Semigroup Forum 78 (2009) ... port royal golf course in bermudaWeb25 de jul. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv … port royal grille islipWebA 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}. iron rich meals for kidsWeb7 de fev. de 2024 · Sandeep Dalal, Jitender Kumar, Siddharth Singh, On the enhanced power graph of a semigroup, Algebra Colloquium (SCIE), Accepted . ... R.P. Panda, S. Dalal and J. Kumar, On the enhanced power graph of finite groups, Communications in Algebra (SCIE), 49(4):1697-1716, 2024. 9. port royal golf course hilton head reviews