The edmonds—Gallai decomposition for matchings in locally finite graphs


We show that the Edmonds—Gallai decomposition theorem for matchings in finite graphs generalizes to all locally finite graphs.

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Dedicated to Tibor Gallai on his seventieth birthday


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Bry, F., Las Vergnas, M. The edmonds—Gallai decomposition for matchings in locally finite graphs. Combinatorica 2, 229–235 (1982).

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AMS subject classification (1980)

  • 05 C 99