The structure of bases in bicircular matroids (Q912110)
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scientific article; zbMATH DE number 4143997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of bases in bicircular matroids |
scientific article; zbMATH DE number 4143997 |
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The structure of bases in bicircular matroids (English)
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1989
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A generalized network flow problem (GNF) is a linear program with at most two nonzero entries in the constraint matrix; not exactly two, like in the pure network flow problem (PNF). Due to its special structure, even the former can be performed much faster than the general linear programming problems. A ``hidden'' PNF in an LP problem can be recognized [see, for example, \textit{R. E. Bixby} and \textit{W. Cunningham}, Converting linear programs to network problems, Math. Oper. Res. 5, 322-357 (1980; Zbl 0442.90095)]. The present paper and some forthcoming ones give a recognition algorithm for GNF under some condition.
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generalized network flow problem
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GNF
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pure network flow problem
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PNF
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recognition algorithm
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0.9679116
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0.9379757
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0.91209894
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0.9119954
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0.9018671
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