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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Combinatorics & graph theory

• Full title: Greedoids
• Author: Rainer Schrader
• Language: English
• Binding: Paperback
• Number of pages: 214
• EAN: 9783642634994
• ISBN: 9783642634994
• ID: 06616829
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 414 g
• Dimensions: 170 × 243 × 18 mm
• Date of publishing: 18. October 2012

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