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 silly rage, that during our fleeting lifestyles so goads us on And plunges us in boiling blood for ever! Dante, The Divine Comedy Inferno, XII, 17, 49/51. On a day hike through the moment Oberwolfach convention on Mathematical Programming in January 1981, of the authors of this publication mentioned a paper by way of one other of the authors (Korte and Schrader [1981]) on approximation schemes for optimization difficulties over independence platforms and matroids. that they had spotted that during many proofs the hereditary estate of independence platforms and matroids isn't really wanted: it's not required that each subset of a possible set is back possible. a miles weaker estate is adequate, particularly that each possible set of cardinality ok includes (at least) one possible subset of cardinality okay - 1. We referred to as this estate accessibility, and that was once the start line of our investigations on greedoids.
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