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Greedoids (Paperback, Softcover reprint of the original 1st ed. 1991)
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Greedoids (Paperback, Softcover reprint of the original 1st ed. 1991)
Series: Algorithms and Combinatorics, 4
Expected to ship within 10 - 15 working days
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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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