Prune and search

Prune and search is a method of solving optimization problems suggested by Nimrod Megiddo in 1983.

The basic idea of the method is a recursive procedure in which at each step the input size is reduced ("pruned") by a constant factor $0 < p < 1$ . As such, it is a form of decrease and conquer algorithm, where at each step the decrease is by a constant factor. Let $n$ be the input size, $T (n)$ be the time complexity of the whole prune-and-search algorithm, and $S (n)$ be the time complexity of the pruning step. Then $T (n)$ obeys the following recurrence relation:

单词	Prune and search
释义	Prune and search 英语百科 Prune and search Prune and search is a method of solving optimization problems suggested by Nimrod Megiddo in 1983. The basic idea of the method is a recursive procedure in which at each step the input size is reduced ("pruned") by a constant factor $0 < p < 1$ . As such, it is a form of decrease and conquer algorithm, where at each step the decrease is by a constant factor. Let $n$ be the input size, $T (n)$ be the time complexity of the whole prune-and-search algorithm, and $S (n)$ be the time complexity of the pruning step. Then $T (n)$ obeys the following recurrence relation:
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