On spectral radius of the distance matrix
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. 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 spectral radius of the distance matrix
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Web23 de jan. de 2024 · The generalized distance spectral radius of a connected graph is the spectral radius of the generalized distance matrix of , defined by where and denote … 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 …
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. … 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 …
WebOnspectralradiusofthedistancematrix 273 Proof. Let G be a graph with minimal spectral radius of D(G) in the class of n-vertexconnectedgraphswithmatchingnumberm ... 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, …
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 …
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. how many kids did they haveWeb1 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 … how many kids did the jacksons haveWebPseudo-Anosovs of interval type Ethan FARBER, Boston College (2024-04-17) A pseudo-Anosov (pA) is a homeomorphism of a compact connected surface S that, away from a finite set of points, acts locally as a linear map with one expanding and one contracting eigendirection. Ubiquitous yet mysterious, pAs have fascinated low-dimensional … how many kids did the roosevelts haveWebThe 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 … howard painting inchoward painting and drywallWeb5 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 … howard paley photographyWeb17 de jan. de 2024 · How to prove that the spectral radius of a linear operator is the infimum over all subordinate norms of the corresponding norm of the operator. So along those lines $$ \rho(AU) = \inf_{\left\lVert \cdot \right\rVert} \left\lVert AU \right\rVert $$ Just suppose for a second that the infimum is achieved and let $\left\lVert U \right\rVert_{M}$ … how many kids did the prophet have