Inverse of the distance matrix of a block graph

DOI10.1080/03081087.2011.557374zbMath1232.05112OpenAlexW2009539950MaRDI QIDQ3104566

Sivaramakrishnan Sivasubramanian, Ravindra B. Bapat

Publication date: 14 December 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.557374

zbMATH Keywords

determinantLaplacian matrixdistance matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (23)

Steiner distance matrix of caterpillar graphs ⋮ Distance matrix of a multi-block graph: determinant and inverse ⋮ Distance matrix of a class of completely positive graphs: determinant and inverse ⋮ Computing the determinant of the distance matrix of a bicyclic graph ⋮ On distance matrices of wheel graphs with an odd number of vertices ⋮ On mixed block graphs ⋮ On the second largest distance eigenvalue of a block graph ⋮ Distance Estrada index of random graphs ⋮ An inverse formula for the distance matrix of a fan graph ⋮ A \(q\)-analogue of distance matrix of block graphs ⋮ The exponential distance matrix of block graphs ⋮ An inverse formula for the distance matrix of a wheel graph with an even number of vertices ⋮ The class of \(q\)-cliqued graphs: eigen-bi-balanced characteristic, designs, and an entomological experiment ⋮ The inverse of the distance matrix of a distance well-defined graph ⋮ On graphs whose third largest distance eigenvalue dose not exceed \(-1\) ⋮ Inverse of the distance matrix of a bi-block graph ⋮ On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices ⋮ Inverse of the distance matrix of a weighted cactoid digraph ⋮ Steiner Wiener index of block graphs ⋮ Inverse of the distance matrix of a cycle-clique graph ⋮ Wiener index and Steiner 3-Wiener index of graphs ⋮ Inverse of the distance matrix of a cactoid digraph ⋮ Distance matrix of weighted cactoid-type digraphs

Cites Work

• \(q\)-analogs of distance matrices of 3-hypertrees
• Distance matrix polynomials of trees
• A \(q\)-analogue of the distance matrix of a tree
• On the distance matrix of a directed graph

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