Resistance matrices of balanced directed graphs

DOI10.1080/03081087.2020.1748850zbMath1485.05071arXiv1906.01165OpenAlexW3106037348MaRDI QIDQ5065533

Shivani Goel, Ravindra B. Bapat, Ramamurthy Balaji

Publication date: 22 March 2022

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

Full work available at URL: https://arxiv.org/abs/1906.01165

zbMATH Keywords

Moore-Penrose inverseLaplacian matrixbalanced directed graphcofactor sums

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

On resistance matrices of weighted balanced digraphs ⋮ Resistance distance in connected balanced digraphs

Cites Work

• Identities for minors of the Laplacian, resistance and distance matrices
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Distance matrix polynomials of trees
• Eigenvalues of rank-one updated matrices with some applications
• An Elementary Proof of a Matrix Tree Theorem for Directed Graphs
• Algebraic connectivity of directed graphs
• On the Addressing Problem for Loop Switching
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