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portada Greedoids (Algorithms and Combinatorics, 4)
Type
Physical Book
Publisher
Author
Language
English
Pages
228
Format
Paperback
ISBN13
9783642634994

Greedoids (Algorithms and Combinatorics, 4)

Bernhard Korte; Laszlo Lovasz; Rainer Schrader (Author) · Springer · Paperback

Greedoids (Algorithms and Combinatorics, 4) - Bernhard Korte; Laszlo Lovasz; Rainer Schrader

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Synopsis "Greedoids (Algorithms and Combinatorics, 4)"

Oh cieca cupidigia, oh ira folie, Che si ci sproni nella vita corta, E nell' eterna poi si mal c'immolle! o blind greediness and foolish rage, That in our fleeting life so goads us on And plunges us in boiling blood for ever! Dante, The Divine Comedy Inferno, XII, 17, 49/51. On an afternoon hike during the second Oberwolfach conference on Mathematical Programming in January 1981, two of the authors of this book discussed a paper by another two of the authors (Korte and Schrader [1981]) on approximation schemes for optimization problems over independence systems and matroids. They had noticed that in many proofs the hereditary property of independence systems and matroids is not needed: it is not required that every subset of a feasible set is again feasible. A much weaker property is sufficient, namely that every feasible set of cardinality k contains (at least) one feasible subset of cardinality k - 1. We called this property accessibility, and that was the starting point of our investigations on greedoids.

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