Greedoids Softcover Repri Edition Contributor(s): Korte, Bernhard (Author), Lovasz, Laszlo (Author), Schrader, Rainer (Author) |
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ISBN: 3642634990 ISBN-13: 9783642634994 Publisher: Springer
Binding Type: Paperback Published: October 2012 Click for more in this series: Algorithms and Combinatorics |
Additional Information |
BISAC Categories: - Mathematics | Combinatorics - Mathematics | Discrete Mathematics |
Dewey: 511.6 |
Series: Algorithms and Combinatorics |
Physical Information: 0.48" H x 6.69" W x 9.61" L (0.81 lbs) 214 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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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