Totally unimodular Leontief directed hypergraphs (Q1904049)
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scientific article; zbMATH DE number 826711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally unimodular Leontief directed hypergraphs |
scientific article; zbMATH DE number 826711 |
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Totally unimodular Leontief directed hypergraphs (English)
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18 June 1996
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A Leontief directed hypergraph is a generalization of a directed graph, where arcs have multiple (or no) tails and at most one head. The authors define a subclass of Leontief directed hypergraphs via forbidden odd pseudocycles. They show that the vertex-hyperarc incidence matrices of the hypergraphs in this subclass are totally unimodular. In addition, they present examples of Leontief directed hypergraphs that are graphic, cographic, and neither graphic nor cographic.
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unimodular matrices
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Leontief directed hypergraph
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pseudocycles
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