On spectral radius of the distance matrix

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August undefined, 2024

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 … Web22 de fev. de 2024 · Extremal values for the spectral radius of the normalized distance Laplacian. Jacob Johnston, Michael Tait. The normalized distance Laplacian of a graph is defined as where is the matrix with pairwise distances between vertices and is the diagonal transmission matrix. In this project, we study the minimum and maximum spectral radii …

On spectral spread of generalized distance matrix of a graph

WebOnspectralradiusofthedistancematrix 273 Proof. Let G be a graph with minimal spectral radius of D(G) in the class of n-vertexconnectedgraphswithmatchingnumberm ... WebThe spectral radius is closely related to the behavior of the convergence of the power sequence of a matrix; namely as shown by the following theorem. Theorem. Let A ∈ Cn×n with spectral radius ρ(A). Then ρ(A) < 1 if and only if. On the other hand, if ρ(A) > 1, . The statement holds for any choice of matrix norm on Cn×n . how accurate is dog dna

Spectral distances of graphs - ScienceDirect

Web14 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 ... 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 … Web5 de mar. de 2014 · Spectral properties of line distance matrices, associated with biological sequences, are studied. It is shown that a line distance matrix of size n>1 has one … how accurate is duties of the sovereign

The generalized adjacency-distance matrix of connected graphs

Web19 de jun. de 2024 · In this article, we introduce a Laplacian for the reciprocal distance matrix of a connected graph, called the reciprocal distance Laplacian. Let $$\\delta … 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 … how accurate is fakespotWeb1 de jan. de 2008 · In this note we obtain bounds for the distance spectral radius and D-energy of graphs of diameter 2. Pairs of equiregular D-equienergetic graphs of diameter 2, on p = 3t + 1 vertices are also ... how many helium balloons to lift a cat

"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 … " - On spectral radius of the distance matrix

On spectral radius of the distance matrix

On the distance Laplacian spectral radius of bicyclic graphs

http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/viewFile/5783/354355157 Web1 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 and cite all the research you need on ...

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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 latitude of 71 ∘ 56 ′ 59.64 ′′ S and a longitude of 23 ∘ 20 ′ 49.56 ′′ E. The station was built on the Utsteinen Nunatak in the immediate vicinity of the Sør Rondane Mountains, a mountain … Web1 de abr. de 2012 · The distance spectral radius of a connected graph G, denoted by ρ (G), is the maximal eigenvalue of the distance matrix of G. In this paper we find a sharp lower bound as well as a sharp upper ...

WebOn Distance Spectral Radius and Distance Energy of Graphs. Bo Zhou, Aleksandar Ilić. Mathematics, Computer Science. 2010. TLDR. Lower and upper bounds for the … Web25 de dez. de 2024 · There is a survey of Aouchiche and Hansen [1] in 2014 on the relevant background and results on the spectrum of the distance matrix of a graph, and especially on the distance spectral radius.

Web22 de set. de 2013 · We give upper and lower bounds for the spectral radius of a nonnegative matrix by using its average 2-row sums, and characterize the equality cases if the matrix is irreducible. We also apply these bounds to various nonnegative matrices associated with a graph, including the adjacency matrix, the signless Laplacian matrix, … Web15 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 ...

Web1 de fev. de 2024 · In [], Atik and Panigrahi presented some bounds for spectral radius of distance matrix of a graph.They also introduced a class of graphs called DVDR graphs for characterizing equality in these bounds. A connected graph G on n vertices is said to be distinguished vertex deleted regular graph (DVDR) if there exist a vertex v in G such that …

Web3 de abr. de 2024 · In this paper, we present two suffcient conditions in terms of the distance signless Laplacian sepectral radius for the exsitence of perfect matchings in graphs and bipatite graphs. Subjects: Combinatorics (math.CO) how many hellboy movies were thereWeb1 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 … how accurate is cygnal pollingWeb1 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 … how accurate is factset financial dataWebThe 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 accurate is farmers almanacWeb9 de dez. de 2024 · Abstract. The distance Laplacian matrix of a connected graph is defined as , where is the distance matrix of and is the diagonal matrix of vertex transmissions of . The largest eigenvalue of is called the distance Laplacian spectral radius of . In this paper, we determine the graphs with maximum and minimum distance … how accurate is dreWebfor 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 spectral radius of A. For an arbitrary matrix, we may not have equality for any norm; a counterexample would be how accurate is estimated time of deathWeb24 de mar. de 2024 · Let A be an n×n matrix with complex or real elements with eigenvalues lambda_1, ..., lambda_n. Then the spectral radius rho(A) of A is … how accurate is everly food allergy test