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Fractional matchings and covers in infinite hypergraphs - MaRDI portal

Fractional matchings and covers in infinite hypergraphs (Q1115456)

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scientific article; zbMATH DE number 4085700
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Fractional matchings and covers in infinite hypergraphs
scientific article; zbMATH DE number 4085700

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    Fractional matchings and covers in infinite hypergraphs (English)
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    1985
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    A strong version of the duality theorem of linear programming is proved for fractional covers and matchings in countable graphs. It is conjectured to hold for general hypergraphs. In Section 2 we show that in countable hypergraphs there does not necessarily exist a maximal matchable set, contrary to the situation in graphs.
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    fractional covers
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    matchings
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    countable graphs
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    hypergraphs
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    countable hypergraphs
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