search-heap

Search Heap

This is a data structure I am in the process of writing. As evidenced by the name, this structure is a well-ordered tree, thus it is also searchable. It is a type of heap that keeps both the global minimum and maximum in the root node, and also keeps the local minima and maxima in their respective subtree's root. This ensures O(1) search time for the extrema, and, because it is self-balancing, it guarantees O(lg n) search time for a given element, where n is the number of elements in the collection.

A zero-padded example with integers:

             (00, 13)
             /      \
    (01, 06)          (07, 12)
       / \               / \
(02, 03) (04, 05) (08, 09) (10, 11)