Restricted unimodular chordal graphs

DOI<121::AID-JGT6>3.0.CO;2-1 10.1002/(SICI)1097-0118(199902)30:2<121::AID-JGT6>3.0.CO;2-1zbMath0912.05044OpenAlexW4240389170MaRDI QIDQ4229266

Uri N. Peled, Julin Wu

Publication date: 9 May 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0118(199902)30:2<121::aid-jgt6>3.0.co;2-1

zbMATH Keywords

chordal graphsbalanced bipartite graphstotally unimodular matricesptolemaic graphs

Mathematics Subject Classification ID

Paths and cycles (05C38) Structural characterization of families of graphs (05C75) Distance in graphs (05C12)

Related Items (4)

On the Galois Lattice of Bipartite Distance Hereditary Graphs ⋮ ON THE CLIQUE-WIDTH OF SOME PERFECT GRAPH CLASSES ⋮ Block duplicate graphs and a hierarchy of chordal graphs ⋮ On the Galois lattice of bipartite distance hereditary graphs

Cites Work

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• A hierarchy of totally unimodular matrices
• Characterizations of strongly chordal graphs
• Neighborhood perfect graphs
• New linear time algorithms for generating perfect elimination orderings of chordal graphs
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• Simple Linear-Time Algorithms to Test Chordality of Graphs, Test Acyclicity of Hypergraphs, and Selectively Reduce Acyclic Hypergraphs
• On a Class of Totally Unimodular Matrices
• Structural properties and recognition of restricted and strongly unimodular matrices
• A characterization of ptolemaic graphs
• A sufficient condition for a matrix to be totally unimodular
• A CHARACTERIZATION OF DISTANCE-HEREDITARY GRAPHS

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