Commuting graph centraly finite
WebJun 15, 2013 · The commuting graph of R,denotedby (R), is a simple graph whose vertices are all non-central elements of R, and two distinct vertices a and b are adjacent if and only if ab = ba. ... On commuting graphs of finite matrix rings. Comm. Algebra, 38 (3) (2010), pp. 988-994. CrossRef View in Scopus Google Scholar [14] G.R. Omidi, E. … WebWe call ΓG the non-commuting graph of G. Also we study what group properties of two non-abelian groups with the isomorphic non-commuting graphs are always the same. We consider simple graphs which are undirected, with no loops or multiple edges. For any graph Γ, we denote the sets of the vertices and the edges of Γ by V(Γ)and E(Γ ...
Commuting graph centraly finite
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WebDec 1, 2024 · The commuting graph Γ = C (G) is a simple graph with vertex set G and two vertices are adjacent if and only if they commute with each other. In this paper, the … WebOct 1, 2004 · The commuting graph of R denoted by afii9796 (R), is a graph with vertex set R \Z (R), and two distinct vertices a and b are adjacent if ab = ba.Inthis paper we investigate some properties of afii9796 (R), whenever R is a finite semisimple ring. For any finite field F, we obtain minimum degree, maximum degree and clique number of …
WebMar 31, 2024 · In addition, we look into the energetic hyper- and hypo-properties of non-commuting graphs of finite groups. We also assess whether the same graphs are Q-hyperenergetic and L-hyperenergetic. Comments: 39 pages: Subjects: Group Theory (math.GR) MSC classes: 20D60, 05C50, 15A18, 05C25: WebJan 1, 2010 · Given group , the commuting graph of , is defined as the graph with vertex set , and two distinct vertices and are connected by an edge, whenever they commute, that is . In this paper we...
WebJun 1, 2008 · In this article, we investigate the A α matrix for commuting graphs of finite groups and we also find the A α eigenvalues of the dihedral, the semidihedral and the … WebOct 28, 2024 · In this paper, we study some properties of the non-commuting graph \(\varGamma _M\) of a finite Moufang loop M, a graph obtained by setting all non-central elements of M as the vertex set and defining two distinct vertices to be adjacent if and only if their commutator is non-identity. In particular, Hamiltonian as well as (weak) perfectness …
WebApr 4, 2024 · The commuting graph \varDelta (G) of a finite non-abelian group G is a simple graph with vertex set G, and two distinct vertices x , y are adjacent if xy = yx. In …
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