On the laplacian spread of graphs

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August undefined, 2024

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), … WebDiscrete Mathematics and Theoretical Computer Science DMTCS vol. 10:1, 2008, 79–86 The Laplacian Spread of a Tree Yi-Zheng Fan 1,2†, Jing Xu, Yi Wang , Dong Liang1‡ 1Key Laboratory of Intelligent Computing & Signal Processing Ministry of Education of the People’s Republic of China, Anhui University, Hefei 230039, P. R. China

Bounds for Di erent Spreads of Line and Total Graphs

Web1 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, … WebOn the other hand, the Laplacian spread of a graph G, s L(G), is the di erence among the largest and the second smallest Laplacian eigenvalue of G. In [17] it was proven that … ontario ohio high school girls soccer

Repositório Institucional da Universidade de Aveiro: Laplacian spread ...

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 … 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 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 … ontario northland bus schedules

On distance Laplacian spectral determination of complete

Upper bounds on the Laplacian spread of graphs

Web6 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 … 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 … ontech1xWeb1 de jan. de 2024 · The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of its … ontario long term care visiting rules

"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 … " - On the laplacian spread of graphs

On the laplacian spread of graphs

Web26 de abr. de 2024 · As key subjects in spectral geometry and spectral graph theory respectively, the Hodge Laplacian and the graph Laplacian share similarities in their … 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.

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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 for this graph invariant, that depends on rst Zagreb index, is given. Moreover, another upper bound is obtained and ex- 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 …

WebLet G be a graph. The Laplacian matrix L ( G) = D ( G) − A ( G) is the difference of the diagonal matrix of vertex degrees and the 0-1 adjacency matrix. Various aspects of the spectrum of L ( G) are investigated. Particular attention is given to multiplicities of integer eigenvalues and to the effect on the spectrum of various modifications of G. Web17 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.

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 … WebRecently, the spread of a graph has received much attention. In [1], Petrovi¶c determined all minimal graphs whose spreads do not exceed 4. In [2] and [3], some lower and upper bounds for the spread of a graph were given. After then, the maximal spreads among all unicyclic graphs and all bicyclic graphs were determined in [4] and [5 ...

Web11 de abr. de 2024 · To see the progress on this conjecture, we refer to Yang and You and the references therein.The rest of the paper is organized as follows. In Sect. 2, we obtain …

WebOn the Laplacian spread of digraphs - ScienceDirect Linear Algebra and its Applications Volume 664, 1 May 2024, Pages 126-146 On the Laplacian spread of digraphs☆ … ontex4youWeb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 … ontewsgWebIn this work, by combining old techniques of interlacing eigenvalues and rank $1$ perturbation matrices new lower bounds on the Laplacian spread of graphs are deduced, some of them involving invariant parameters of graphs, as it is the case of the bandwidth, independence number and vertex connectivity. Peer review: yes: URI: porter radiology schedulingWeb1 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, … ontgrsecWeb20 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 … ontario property assessment mapWeb14 de abr. de 2024 · Graph-based single-cell clustering algorithms can have increased performance headroom if we can integrate accurate graph learning algorithms. Moreover, since cell types can be classified into multiple categories, integrating multilayer graph clustering would be a reasonable alternative for the classical clustering algorithms such … porter ranch 9Web23 de nov. de 2024 · Abstract The spread of a graph is the difference between the largest and most negative eigenvalue of its adjacency matrix. We show that for sufficiently large … ontario ministry of labour notice of project