On the laplacian spread of graphs

Author: sjnu

August undefined, 2024

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 … 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,

On distance Laplacian spectral determination of complete

Web15 de set. de 2016 · The Laplacian spread of a graph G with n vertices is defined to be s L (G) = μ 1 (G) − μ n − 1 (G), where μ 1 (G), μ n − 1 (G) are the largest and the second … Webtions 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 … highest paid baseball player today

calculus - Interpretation of the Laplacian operator in graphs ...

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 … Web15 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 … 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. how good is spyhunter software

Bounds for Di erent Spreads of Line and Total Graphs

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, … Web20 de mar. de 2024 · We obtain a relationship between the Laplacian energy and the distance Laplacian energy for graphs with diameter 2. We obtain lower bounds for the … highest paid basketball player in chinaWeb1 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 … how good is starsector

"WebFor a simple connected graph G, let . D (G), T r (G), D L (G) and . D Q (G), respectively, are the distance matrix, the diagonal matrix of the vertex transmissions, distance Laplacian matrix and the distance signless Laplacian matrix. " - On the laplacian spread of graphs

On the laplacian spread of graphs

The least eigenvalue of signless Laplacian of non-bipartite graphs …

Web8 de ago. de 2024 · The Laplacian spread of a graph is the difference between the largest and second smallest Laplaicain eigenvalues of the graph. Using the Laplacian spread … Web11 de jun. de 2024 · Article history: Received 9 June 2009 Accepted 27 August 2009 Available online 23 September 2009 Submitted by R.A. Brualdi AMS classification: 15A18 05C50 Keywords: Laplacian spread Unicyclic graphs Algebraic connectivity The Laplacian spread of a graph [1] is defined as the difference between the largest …

Did you know?

WebHodge Laplacians on Graphs\ast Lek-Heng Lim\dagger Abstract. This 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 coho-mology and Hodge theory. The main feature of our approach is simplicity, requiring only Web13 de abr. de 2024 · Understanding how things spread across networks is paramount to numerous endeavors including the study of epidemics, social contagions, cascading failures and blackouts, neuronal avalanches, and much more. 41,42 41. J. P. Gleeson, “ Binary-state dynamics on complex networks: Pair approximation and beyond,” Phys. Rev. X 3(2), …

WebAbstract. In this paper we consider the energy of a simple graph with respect to its Laplacian eigenvalues, and prove some basic properties of this energy. In particular, we … WebThe Laplacian spread of a graph Gis de ned as the di erence between the largest and the second smallest eigenvalue of the Laplacian matrix of G. In this work, an upper bound …

Web机译：在本文中，我们研究了P-LAPLACIANS的特征值和图形的Dirichlet边界条件。我们通过标志条件表征了第一个特征（和二分钟图的最大特征功能）。通过P-Laplacian的第 … Web20 de jul. de 2015 · Lek-Heng Lim. This is an elementary introduction to the Hodge Laplacian on a graph, a higher-order generalization of the graph Laplacian. We will …

WebThe Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph. In this paper, we show that the star is the unique tree with maximal Laplacian spread among all trees of given order, and the path is the unique one with minimal Laplacian spread …

Web17 de set. de 2024 · The Laplacian spread of a graph G is defined as L S (G) = μ 1 (G) − μ n − 1 (G), where μ 1 (G) and μ n − 1 (G) are, respectively, the largest and second smallest Laplacian eigenvalues of G. More on L S ( G ) can be found in [ 16 , 17 , 18 ]. highest paid bbc news presentersWeb6 de mar. de 2024 · Let G be a connected graph of order n. The signless Laplacian spread of G is defined as SQ (G)=q_1 (G)-q_n (G), where q_1 (G) and q_n (G) are the … highest paid basketball playerWeb17 de nov. de 2024 · Abstract. The Laplacian spread of a graph is the difference between the largest and second smallest Laplaicain eigenvalues of the graph. Using the Laplacian spread of a graph, we in this note present sufficient conditions for some Hamiltonian properties of the graph. highest paid bbc female presenterWebNew conjectures on algebraic connectivity and the Laplacian spread of graphs Wayne Barrett∗, Emily Evans †, H. Tracy Hall ‡, and Mark Kempton § Abstract We conjecture a … how good is starlink best effort serviceWeblower bounds for the Laplacian spread of a connected graph that are related with the edge density. Then, using these results we study lower bounds for the Laplacian spread of graphs that have a particular nontrivial subset of vertices, namely for graphs that have an independent nontrivial subset of ver-tices and a (κ,τ)-regular subset of ... highest paid bitters bottlesWeboriented normal graph OG = (V,AG) results in the adjacency matrix AOG for oriented normal graphs of deﬁnition (1.10). Proof. As argued before, every oriented normal graph OG = … highest paid baseball players 2023Web1 de dez. de 2015 · In what follows, based on Lemma 2.6, a few lower bounds on the Laplacian spread of a graph are obtained. Theorem 3.1. Let G be a graph of order n, … highest paid black college football coaches