On spectral radius of the distance matrix

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August undefined, 2024

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 spectral radius of A. For an arbitrary matrix, we may not have equality for any norm; a counterexample would be Web1 de jul. de 2010 · The greatest eigenvalue of a line distance matrix D, denoted by λ(D), is called the spectral radius of D. In this paper, we obtain some sharp upper and lower …

On spectral radius and energy of extended adjacency matrix of graphs ...

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 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 … raw spread brokers

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Web1 de mar. de 2024 · Let C be a symmetric matrix. On spectral radius of the extended adjacency matrix. In this section we give some lower and upper bounds on η 1. … 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 ... 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 … simple machines by tinybop

Spectral radius of a matrix multiplied by a contraction matrix

On maximal spectral radius of complementary distance matrix of …

Web5 de dez. de 2024 · The weighted adjacency matrix A f ( G ) of a graph G is a square matrix, where the ( i , j ) -entry is equal to f ( d i , d j ) if the vertices v i and v j are adjacent and 0 otherwise. Li and Wang [22] tried to unify methods to study spectral radius of weighted adjacency matrices of graphs weighted by various topological indices. WebOnspectralradiusofthedistancematrix 273 Proof. Let G be a graph with minimal spectral radius of D(G) in the class of n-vertexconnectedgraphswithmatchingnumberm ... simple machines books for kidsWeb15 de jul. de 2014 · The spectral radius of A, denoted by λ ( A), is the largest modulus of eigenvalues of A. Furthermore, if A is irreducible, then λ ( A) is just the largest eigenvalue of A. Let G be a simple graph with vertex set V ( G) = { v 1, v 2, …, v n }. Let A ( G) = ( a ij) n × n be the ( 0 1) –adjacency matrix of G, where a ij = 1 if v i and v j ... raw spot on face

"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

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Webmultipartite graphs. Later in the paper are given some sharp bounds for generalized distance spectral radius of connected graphs. MSC: 05C50; 05C12; 15A18 Keywords: distance -spectral radius; bounds on D -spectral radius; transmission matrix Submission date: 21.11.2024 / Acceptance date: 11.11.2024 1.Introduction 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 …

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Web1 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 … 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 …

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. Web1 de mar. de 2012 · The spectral distance Ïƒ (G 1 , G 2 ) between n vertex graphs G 1 and G 2 is defined by Ïƒ (G 1 , G 2 ) = n âˆ‘ i=1 Î» i (G 1 )âˆ’ Î» i (G 2 ) . Here we provide …

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 ) is the diagonal matrix of the node transmissions. In this paper, we extend the concept of energy to the generalized distance matrix and define the generalized distance energy … 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...

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 ...

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 … simple machine scavenger huntWebOn Distance Spectral Radius and Distance Energy of Graphs. Bo Zhou, Aleksandar Ilić. Mathematics, Computer Science. 2010. TLDR. Lower and upper bounds for the … simple machines change the direction of forceWeb15 de abr. de 2013 · The distance matrix of G is defined as D (G) = (d uv ) u,vâˆˆV (G) .The eigenvalues of D (G) are called the distance eigenvalues of G.SinceD (G) is real and … simple machines chitty chitty bang bangWeb1 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 ... simple machines and workWeb1 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 … simple machines and motionWeb1 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 … raw spun honeyWeb24 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 … simple machines broom