Squared distance matrix of a weighted tree

DOI10.5614/ejgta.2019.7.2.8zbMath1467.05152arXiv1810.06182OpenAlexW2980983455MaRDI QIDQ5009955

Ravindra B. Bapat

Publication date: 23 August 2021

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06182

zbMATH Keywords

treedeterminantinversedistance matrixsquared distance matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

The bipartite Laplacian matrix of a nonsingular tree ⋮ Squared distance matrices of trees with matrix weights ⋮ Unicyclic graphs and the inertia of the squared distance matrix ⋮ The bipartite distance matrix of a nonsingular tree ⋮ A unique and novel graph matrix for efficient extraction of structural information of networks

Cites Work

• The distance matrix of a tree with weights on its arcs
• Distance matrix polynomials of trees
• On distance matrices and Laplacians
• The determinants of \(q\)-distance matrices of trees and two quantities relating to permutations
• A \(q\)-analogue of the distance matrix of a tree
• Product distance matrix of a graph and squared distance matrix of a tree
• On the Addressing Problem for Loop Switching
• Squared distance matrix of a tree: inverse and inertia

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