Lecture 6 — March 6 , 2012
نویسنده
چکیده
In the last lecture we discussed representing executions of binary search trees as point sets. A BST execution is represented as the point set of all nodes touched during the execution of the algorithm. A point set represents a valid BST execution if and only if it is arborally satistified. A point set is arborally satisfied iff any rectange spanned by two points not on a horizonal or vertical line contains another point. This point set representation of binary searches suggested an offline greedy algorithm for generating valid point sets from a set of queries, by adding the points required to make the point set arborally satisfied row by row. This greedy algorithm is conjectured to be O(optimal). The offline greedy algorithm can be simulated online.
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