Inverse of the distance matrix of a cycle-clique graph

DOI10.1016/j.laa.2015.07.022zbMath1322.05110OpenAlexW939420308MaRDI QIDQ745178

Yajing Sun, Aixiang Fang, Yao-Ping Hou

Publication date: 13 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.022

zbMATH Keywords

cycleinverse matrixcliquedistance matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Connectivity (05C40)

Related Items (10)

Distance matrix of a multi-block graph: determinant and inverse ⋮ On mixed block graphs ⋮ An inverse formula for the distance matrix of a fan graph ⋮ Distance matrices of a tree: two more invariants, and in a unified framework ⋮ A \(q\)-analogue of distance matrix of block graphs ⋮ The exponential distance matrix of block graphs ⋮ The determinant of the distance matrix of graphs with blocks at most bicyclic ⋮ The inverse of the distance matrix of a distance well-defined graph ⋮ Inverse of the distance matrix of a weighted cactoid digraph ⋮ Distance matrix of weighted cactoid-type digraphs

Cites Work

• \(q\)-analogs of distance matrices of 3-hypertrees
• Distance matrix polynomials of trees
• On distance matrices and Laplacians
• Inverse of the distance matrix of a cactoid digraph
• A \(q\)-analogue of the distance matrix of a tree
• Product distance matrix of a tree with matrix weights
• Inverse of the distance matrix of a block graph
• On the distance matrix of a directed graph

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