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Wiki › Algorithms › 01. Searching and Sorting › 6. Elementary Sorting ›

Weak Heap Sort

Weak Heap Sort Weak heap sort is a comparison-based sorting algorithm that improves upon heapsort by reducing the number of comparisons. It uses a structure called a weak heap, where the tree shape is similar to a binary heap but ordering constraints are relaxed and encoded using a bit array. The algorithm maintains a single root heap and repeatedly extracts the maximum element. Problem Given a sequence $A$ of length...

Wiki › Algorithms › 01. Searching and Sorting › 7. Divide and Conquer Sorting ›

Weak Heapsort

Weak Heapsort Weak heapsort is a heapsort variant that uses a weak heap instead of an ordinary binary heap. A weak heap stores elements in an implicit array and uses one extra reverse bit per node to define a modified tree structure. The main advantage is comparison efficiency. Weak heapsort can use fewer comparisons than standard binary heapsort while still sorting in place. Problem Given an array $A$ of length...