On spectral radius of the distance matrix
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 … 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 …
On spectral radius of the distance matrix
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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 … 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...
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 … 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 …
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 … 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 …
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 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 ... greek tomato cucumber salad recipeWeb23 de jan. de 2010 · Abstract. For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix, and the distance energy is defined as the sum … flower delivery shah alamWebOn Distance Spectral Radius and Distance Energy of Graphs. Bo Zhou, Aleksandar Ilić. Mathematics, Computer Science. 2010. TLDR. Lower and upper bounds for the … greek to me birchwoodWeb22 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, … flower delivery shirley solihullWebfor 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 … greek tomato and cucumber saladWeb14 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 ... flower delivery sherman txWeb1 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 … flower delivery shepherds bush