Greedoids

by Rainer Schrader and Bernhard Korte

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.

• Format: Paperback
• Language: English
• ISBN: 3642634990
• ISBN13: 9783642634994
• Release Date: October 2012
• Publisher: Springer
• Length: 214 Pages
• Weight: 0.81 lbs.
• Dimensions: 0.5" x 6.7" x 9.6"