Web15 de jul. de 2016 · The Laplacian energy LE ( G) of a graph G is defined as LE ( G) = ∑ i = 1 n μ i − d ‾ , where d ‾ = 2 m n is the average degree of G. We obtain an upper bound … WebLet G = ( V , E ) be a simple graph. Denote by D ( G ) the diagonal matrix of its vertex degrees and by A ( G ) its adjacency matrix. Then the Laplacian matrix of G is L ( G ) = …
Remarks on Spectral Radius and Laplacian Eigenvalues of a Graph
Web24 de nov. de 2024 · Classification of graphs by Laplacian eigenvalue distribution and independence number. Jinwon Choi, Sunyo Moon, Seungkook Park. Let denote the number of Laplacian eigenvalues of a graph in an interval and let denote the independence number of . In this paper, we determine the classes of graphs that satisfy the condition … Web5 de ago. de 2024 · Tian, Xg., Wang, Lg. & Lu, Y. On the Second Smallest and the Largest Normalized Laplacian Eigenvalues of a Graph. Acta Math. Appl. Sin. Engl. Ser. 37, … bis web applications \u0026 reports btmna.com
The Laplacian eigenvalues of graphs: a survey - Semantic Scholar
Web15 de out. de 2011 · This paper presents some bounds on the number of Laplacian eigenvalues contained in various subintervals of [0, n] by using the matching number and edge covering number for G, and asserts that for a connected graph the Laplacian eigenvalue 1 appears with certain multiplicity.Furthermore, as an application of our result … Web2 de jun. de 2014 · On Laplacian Eigenvalues of a Graph Authors: Bo Zhou South China Normal University Abstract Let G be a connected graph with n vertices and in edges. The Laplacian eigenvalues are... WebSuppose μ1,μ2,…,μn is the Laplacian eigenvalues of G. The Laplacian energy of G has recently been defined as LE(G)=∑i=1nμi-[Formula presented]. In this paper, we define … bis website nyc