On spectral radius of the distance matrix
Web1 de mar. de 2012 · The spectral distance σ (G 1 , G 2 ) between n vertex graphs G 1 and G 2 is defined by σ (G 1 , G 2 ) = n ∑ i=1 λ i (G 1 )− λ i (G 2 ) . Here we provide … http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/viewFile/5783/354355157
On spectral radius of the distance matrix
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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 … Web15 de abr. de 2013 · The distance matrix of G is defined as D (G) = (d uv ) u,v∈V (G) .The eigenvalues of D (G) are called the distance eigenvalues of G.SinceD (G) is real and …
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 … 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 … Web10 de abr. de 2024 · The adjacency-distance matrix of G is defined as S(G)=D(G)+A(G). In this paper, S(G) is generalized by the convex lin... The generalized adjacency-distance …
Web9 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 …
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 … bitcoin gold to inrWeb1 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 ... bitcoin good guy vapesWeb15 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 ... bitcoin gold proof of workWeb29 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 … bitcoin gold paper walletWeb16 de dez. de 2024 · The eccentricity matrix . ϵ (G) of a connected graph G is obtained from the distance matrix of G by retaining the largest distance in each row and each column and setting the remaining entries as 0. The eccentricity matrices of graphs are closely related to the distance matrices of graphs, nevertheless a number of properties of … bitcoin good morningWeb10 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 ... bitcoin goodWeb5 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. daryl patterson lendlease