On the laplacian spread of graphs
Webbound for the spread of the line graph as function of the Zagreb index and the number of edges of the graph is obtained. In Section 3, relations among the spread of the line graph and the signless Laplacian spread are given. A su cient condition for the spread of a unicyclic graph with an odd girth to be at most the spread of its line graph is ... Web1 de jul. de 2013 · In this paper, we investigate Laplacian spread of graphs, and prove that there exist exactly five types of tricyclic graphs with maximum Laplacian spread among …
On the laplacian spread of graphs
Did you know?
WebLet G be a connected non-bipartite graph on n vertices with domination number @c@?n+13. We present a lower bound for the least eigenvalue of the signless Laplacian of G in terms of the domination number. WebFirst, we provide Laplacian spread values for several families of digraphs. Then, we prove sharp upper bounds on the Laplacian spread for all polygonal and balanced digraphs. In particular, we show that the validity of the Laplacian spread bound for balanced digraphs is equivalent to the Laplacian spread conjecture for simple undirected graphs,
Web10 de abr. de 2024 · Bao, Tan and Fan [Y.H. Bao, Y.Y. Tan,Y.Z. Fan, The Laplacian spread of unicyclic graphs, Appl. Math. Lett. 22 (2009) 1011–1015.] characterize the unique unicyclic graph with maximum Laplacian ... WebOn the Laplacian spread of digraphs Authors: Wayne Barrett Wayne Barrett Thomas R. Cameron E.mily J. Evans Brigham Young University - Provo Main Campus H. Tracy Hall …
WebThe notion of Laplacian spread is very significant in characterizing the global structural property of graphs. Recently, Fan et al [4] have showed that, among all trees with nvertices, K 1;n 1 and P n are the unique trees with the maximal Laplacian spread and minimal Laplacian spread, respectively. Bao [1] et al Web1 de dez. de 2011 · The Laplacian spread s (G)s (G) of a graph GG is defined to be the difference between the largest eigenvalue and the second-smallest eigenvalue of the …
Web1 de abr. de 2024 · Download Citation On Apr 1, 2024, B.R. Rakshith and others published On distance Laplacian spectral determination of complete multipartite graphs Find, …
Web13 de abr. de 2024 · In this Element, the authors consider fully discretized p-Laplacian problems (evolution, boundary value and variational problems) on graphs. The … how do i say lainey in spanishWeb17.1. DIRECTED GRAPHS, UNDIRECTED GRAPHS, WEIGHTED GRAPHS 743 Proposition 17.1. Let G =(V,E) be any undirected graph with m vertices, n edges, and c connected com-ponents. For any orientation of G, if B is the in-cidence matrix of the oriented graph G, then c = dim(Ker(B>)), and B has rank m c. Furthermore, how do i say it\u0027s a beautiful day in swediWeb15 de nov. de 2024 · In this paper, we determine the graphs whose line graphs achieve the smallest and the largest Laplacian spread, respectively, among all connected graphs … how much money is a celebi v worthWebLet G be a connected non-bipartite graph on n vertices with domination number @c@?n+13. We present a lower bound for the least eigenvalue of the signless … how much money is a bugatti vision gtWeb6 de fev. de 2024 · We establish sharp lower and upper bounds for the normalized signless Laplacian spreads of connected graphs. In addition, we present a better lower … how do i say knife in spanishWebThis is an elementary introduction to the Hodge Laplacian on a graph, a higher-order generalization of the graph Laplacian. We will discuss basic properties including … how much money is a celebi worthWebtions on graphs and Laplacian spread. Section 6 presents a question on the maximal Laplacian spread of connected graphs with n vertices and the extremal graphs. And … how do i say japanese in spanish