Generalized inverses in graph theory

DOI10.1080/09728600.2023.2234002zbMath1523.05026MaRDI QIDQ6085193

Ravindra B. Bapat, Umashankara Kelathaya, Manjunatha Prasad Karantha

Publication date: 7 November 2023

Published in: AKCE International Journal of Graphs and Combinatorics (Search for Journal in Brave)

zbMATH Keywords

incidence matrixnetworksgeneralized inverseMoore-Penrose inverseLaplacian matrixresistance distancebordering methodinverse complement

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Cites Work

• On the characterization of generalized inverses by bordered matrices
• On bordering of regular matrices
• Inverses of triangular matrices and bipartite graphs
• Moore-penrose inverse of the incidence matrix of a tree
• Distances in Weighted Trees and Group Inverse of Laplacian Matrices
• Inverse complements of a matrix and applications
• On the Generalized Inverse of an Incidence Matrix
• Inverse complements and strongly unit regular elements
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