On the inverse of unicyclic 3-coloured digraphs

DOI10.1080/03081087.2021.1948956OpenAlexW3193415379MaRDI QIDQ5888831

Debajit Kalita, Kuldeep Sarma

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1948956

zbMATH Keywords

coronaadjacency matrixweighted directed graphinverse graph3-coloured digraph

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Coloring of graphs and hypergraphs (05C15) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Cites Work

• Graph invertibility and median eigenvalues
• On weighted directed graphs
• On unimodular graphs
• Directed intervals and the dual of a graph
• Inverses of trees
• Inverses of weighted graphs
• Self-inverse unicyclic graphs and strong reciprocal eigenvalue property
• A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\)
• On the corona of two graphs
• On nonsingular trees and a reciprocal eigenvalue property
• On The Inverse Of A Class Of Bipartite Graphs With Unique Perfect Matchings
• Unicyclic graphs with strong reciprocal eigenvalue property
• Which Nonnegative Matrices Are Self-Inverse?
• Unicyclic graphs with bicyclic inverses
• Inverses of non-bipartite unicyclic graphs with a unique perfect matching
• The Spectrum of the Corona of Two Graphs

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