Inverting graphs of rectangular matrices

DOI10.1016/0166-218X(84)90123-9zbMath0545.05060WikidataQ127176508 ScholiaQ127176508MaRDI QIDQ797599

John S. Maybee, Harvey J. Greenberg, J. Richard Lundgren

Publication date: 1984

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

clique cover graphrow graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph theory (05C99) Matrices of integers (15B36)

Related Items (11)

Inverting Signed Graphs ⋮ Competition hypergraphs ⋮ Niche graphs ⋮ On \(m\)-step competition graphs of bipartite tournaments ⋮ A matrix sequence \(\{\Gamma (A^m)\}^\infty_{m=1}\) might converge even if the matrix \(A\) is not primitive ⋮ Extensions of graph inversion to support an artificially intelligent modeling environment ⋮ On the matrix sequence \(\{\Gamma(A^m)\}_{m=1}^\infty\) for a Boolean matrix \(A\) whose digraph is linearly connected ⋮ Two-step graphs of trees ⋮ Applications of edge coverings by cliques ⋮ The \(m\)-step competition graph of a digraph ⋮ A characterization of graphs of competition number m

Cites Work

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• Applications of edge coverings by cliques
• A characterization of graphs of competition number m
• Combinatorially symmetric matrices
• Sign solvable graphs
• Consanguinity graphs
• Mechanical vibration trees
• Graph Theoretic Methods for the Qualitative Analysis of Rectangular Matrices
• When is a Matrix Sign Stable?
• Qualitative Problems in Matrix Theory

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