The Algorithm Design Manual by Skiena Steven S

Author:Skiena, Steven S. [Skiena, Steven S.]
Language: eng
Format: epub
Publisher: Springer
Published: 2008-08-20T20:00:00+00:00

Bounded height priority queues are very useful in maintaining the vertices of a graph sorted by degree, which is a fundamental operation in graph algorithms. Still, they are not as widely known as they should be. They are usually the right priority queue for any small, discrete range of keys.

Binary search trees – Binary search trees make effective priority queues, since the smallest element is always the leftmost leaf, while the largest element is always the rightmost leaf. The min (max) is found by simply tracing down left (right) pointers until the next pointer is nil. Binary tree heaps prove most appropriate when you need other dictionary operations, or if you have an unbounded key range and do not know the maximum priority queue size in advance.

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