On some graphs which possess inverses

DOI10.1080/03081087.2015.1091434zbMath1341.05216OpenAlexW2140641053MaRDI QIDQ5741218

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Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1091434

zbMATH Keywords

adjacency matrixalternating pathunique perfect matchinginverse graph

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (10)

Inverses of non-bipartite unicyclic graphs with a unique perfect matching ⋮ Strong reciprocal eigenvalue property of a class of weighted graphs ⋮ Inverses of weighted graphs ⋮ Self-inverse unicyclic graphs and strong reciprocal eigenvalue property ⋮ On unicyclic non-bipartite graphs with tricyclic inverses ⋮ Unnamed Item ⋮ Partially ordering the class of invertible trees ⋮ On some graphs which satisfy reciprocal eigenvalue properties ⋮ Unnamed Item ⋮ Almost self-inverse graphs

Cites Work

• On unimodular graphs
• Directed intervals and the dual of a graph
• Inverses of trees
• On nonsingular trees and a reciprocal eigenvalue property
• Graphs and matrices

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