On spectral radius of the distance matrix

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August undefined, 2024

WebFind the distance between each pair of observations in X by using the pdist and squareform functions with the default Euclidean distance metric. dist_temp = pdist (X); dist = squareform (dist_temp); Construct the similarity matrix and confirm that it is symmetric. S = exp (-dist.^2); issymmetric (S) ans = logical 1. Perform spectral clustering. Web29 de jan. de 2024 · For a connected graph and , the distance -spectral radius of is the spectral radius of the matrix defined as , where is a diagonal matrix of vertex transmissions of and is the distance matrix of . We give bounds for the distance -spectral radius, especially for graphs that are not transmission regular, propose some graft …

On the generalized distance spectral radius of graphs

Web2 de mar. de 2024 · The nodes are uniformly distributed in a ring coverage area specified by the inner radius R 1 and outer radius R 2, where CT is located at the origin. Taking into account the wireless fading channel model—that is, when the transmit power at the transmitter is P t —the received power at the receiver is P r = P t d − α , where d is the … Web10 de abr. de 2024 · The adjacency-distance matrix of G is defined as S(G)=D(G)+A(G).... Find, read and cite all the research you need on ResearchGate. Article. The … how to send documents to remarkable 2

Spectral distances of graphs - ScienceDirect

Web1 de ago. de 2010 · The distance spectral radius @r (G) of a graph G is the largest eigenvalue of the distance matrix D (G). Recently, many researches proposed the use of @r (G) as a molecular structure descriptor of alkanes. In this paper, we introduce general transformations that decrease distance spectral radius and characterize n-vertex trees … Web1 de mar. de 2012 · DOI: 10.1016/j.aml.2011.09.007 Corpus ID: 34853737; Some graft transformations and its applications on the distance spectral radius of a graph @article{Yu2012SomeGT, title={Some graft transformations and its applications on the distance spectral radius of a graph}, author={Guanglong Yu and Huicai Jia and … Webfor all positive integers r, where ρ(A) is the spectral radius of A. For symmetric or hermitian A, we have equality in for the 2-norm, since in this case the 2-norm is precisely the … how to send dpd

On maximal spectral radius of complementary distance matrix of …

The Distance Laplacian Spectral Radius of Clique Trees - Hindawi

Web10 de abr. de 2024 · The adjacency-distance matrix of G is defined as S(G)=D(G)+A(G).... Find, read and cite all the research you need on ResearchGate. Article. The generalized adjacency-distance matrix of connected ... Web16 de dez. de 2024 · The eccentricity matrix . ϵ (G) of a connected graph G is obtained from the distance matrix of G by retaining the largest distance in each row and each column and setting the remaining entries as 0. The eccentricity matrices of graphs are closely related to the distance matrices of graphs, nevertheless a number of properties of … how to send documents via linkWeb1 de abr. de 2024 · Download Citation On Apr 1, 2024, Kang Liu and others published Distance spectral radius of the complements of trees with fixed parameters Find, read … how to send documents via lbc

"WebThe generalized distance matrix D α ( G ) of a connected graph G is defined as D α ( G ) = α T r ( G ) + ( 1 − α ) D ( G ) , where 0 ≤ α ≤ 1 , D ( G ) is the distance matrix and T r ( G … " - On spectral radius of the distance matrix

On spectral radius of the distance matrix

Distance spectral radius of the complements of trees with fixed …

Web21 de nov. de 2024 · Accepted: 27 May 2024. Abstract. The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. In this paper, we give several less restricted graft transformations that decrease the distance spectral radius, and determine the unique graph with minimum distance spectral radius among home … Web23 de jan. de 2024 · Corpus ID: 119323032; On the generalized distance spectral radius of graphs @article{Cui2024OnTG, title={On the generalized distance spectral radius of …

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Webdistance spectral radius of graphs and bipartite graphs, lower bounds for the distance energy of graphs, and characterize the extremal graphs. We also discuss upper bounds … Web1 de dez. de 2011 · The distance spectral radius Ï (G) = Ï G of G is the largest eigenvalue of the distance matrix D of the graph G. Distance energy DE (G) is a newly …

WebPrincess Elisabeth Antarctica (PEA) is a polar research base owned by the Belgian government and managed by the International Polar Foundation (IPF), located at a … Web1 de mar. de 2024 · The adjacency matrix A = A ( G) of the graph G is defined so that its ( i, j )-entry is equal to 1 if vivj ∈ E ( G) and 0 otherwise. Let λ 1 ≥ λ 2 ≥ ⋯ ≥ λ n − 1 ≥ λ n denote the eigenvalues of A ( G ). The greatest eigenvalue λ1 is usually referred to as the spectral radius of the graph G. The energy of the graph G is defined ...

WebIn mathematics, the spectral radius of a square matrix is the maximum of the absolute values of its eigenvalues. [1] More generally, the spectral radius of a bounded linear … WebDownloadable (with restrictions)! Let G be a connected graph. The greatest eigenvalue and the spread of the sum of the adjacency matrix and the distance matrix of G are called …

WebOnspectralradiusofthedistancematrix 273 Proof. Let G be a graph with minimal spectral radius of D(G) in the class of n-vertexconnectedgraphswithmatchingnumberm ...

WebThe distance Laplacian matrix of a connected graph G is defined as L(G)=Tr(G)−D(G), where Tr(G) is the diagonal matrix of the vertex transmissions in G and D(G) is the distance matrix of G. The la... how to send draft emailWeb25 de jun. de 2024 · where x is a vector of size m. I have experiments for randomly initialized matrices that satisfy the above conditions. All of these matrices have spectral radii less than or equal to 1. For the case when the spectral radius is equal to 1, the process still converges in my experiment. (Note that the matrix ( A T E) k converges to a non-zero ... how to send driving licence backhttp://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/viewFile/5783/354355157 how to send draft messageWeb1 de jan. de 2013 · We determine the graphs with maximal spectral radius of the complementary distance matrix among simple connected graphs with fixed order and … how to send draft email in outlookWeb14 de jun. de 2024 · In this paper we give some graft transformations on distance signless Laplacian spectral radius of the graphs and use them to characterize the graphs with the minimum and maximal distance signless ... Spectral properties of distance matrix of graphs, in: I. Gutman, B. Furtula (Eds), Distance in Molecular graphs Theory, in ... how to send dropbox invitationWebThe distance Laplacian matrix of a connected graph G is defined as L(G)=Tr(G)−D(G), where Tr(G) is the diagonal matrix of the vertex transmissions in G and D(G) is the … how to send documents via wetransferWeb15 de set. de 2013 · Let G be a connected graph and D(G) = (d ij ) be the distance matrix of G where d ij is the length of a shortest path between v i and v j .ThematrixD(G) is nonnegative and irreducible, so the eigenvalues of D(G) ... Sharp bounds on the distance spectral radius and the distance energy of graphs. Linear Algebra Appl., 430 (2009), pp ... how to send drive link