On spectral radius of the distance matrix
Web1 de out. de 2010 · Anatomy Radius On spectral radius of the distance matrix CC BY 4.0 Authors: Liu Zhongzhu Huizhou University Abstract We characterize graphs with minimal … 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 ...
On spectral radius of the distance matrix
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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 … 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 ...
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 … 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 .
Web1 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 ... WebThe distance spectral radius . λ (G) of a strongly connected digraph G is the eigenvalue of its distance matrix . D (G) with the largest modulus. Let G n d denote the set of strongly …
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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 … on the hand or in the handWeb10 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 ... on the hand翻译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 ... on the hallmark channelWeb2 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 … on the happy lifeWebThe 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... ion that has a total of 36 electronsWeb14 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 ... ion that consist of only one atomon the happy life seneca pdf