On the laplacian spread of graphs

Author: yglx

August undefined, 2024

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- WebNew conjectures on algebraic connectivity and the Laplacian spread of graphs Wayne Barrett∗, Emily Evans †, H. Tracy Hall ‡, and Mark Kempton § Abstract We conjecture a …

CiteSeerX — Citation Query V.S.: The Laplacian spectrum of a graph.

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 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 … iphone 11 case radley

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

WebIn this article, we extend the notion of the Laplacian spread to simple directed graphs (digraphs) using the restricted numerical range. First, 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 … WebThe power graph 풢(S) of a semigroup S is a simple undirected graph whose vertex set is S itself, and any two distinct vertices are adjacent if one of them is a power of the other. ... Zhai, J. Shu and Y. Hong, On the Laplacian spread of graphs, Appl. Math. Lett. 24 ... 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 … iphone 11 case ratings

Upper bounds on the Laplacian spread of graphs

The Laplacian spread of graphs Request PDF - ResearchGate

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 ... Web16 de jan. de 2024 · This value is then used to calculate the squared difference between the top k Laplacian eigenvalue pairs of the two nearest neighbor graphs. The sum of these squared differences is taken as the Eigensimilarity, which can serve as a measure for the degree of isomorphism between two vector spaces, in this case, a pair of monolingual … iphone 11 case on iphone xrWebOn 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 … iphone 11 case seafoam

"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 … " - On the laplacian spread of graphs

On the laplacian spread of graphs

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

Web22 de abr. de 2024 · The Aα A α -spread of a graph is defined as the difference between the largest eigenvalue and the smallest eigenvalue of the associated Aα A α -matrix. In this paper, some lower and upper bounds on Aα A α -spread are obtained, which extend the results of A A -spread and Q Q -spread. Moreover, the trees with the minimum and the … 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.

Did you know?

WebCorpus ID: 257921566; A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant @inproceedings{Faught2024ANT, title={A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant}, author={J. Nolan Faught and Mark Kempton and Adam Knudson}, … 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 …

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 … 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.

Weblower 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 ... 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,

Web14 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 …

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 ... iphone 11 cases christmasWeb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 … iphone 11 case redbubbleWebAbstract. 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 … iphone 11 cases at best buyWebbound 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 ... i phone 11 casesWeb10 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 … iphone 11 cases baddieWeb17 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 ]. iphone 11 cases and screen protectorsWeb15 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 … iphone 11 cases horses