heapsort

Heapsort is a much more efficient version of selection sort.

The heapsort algorithm can be divided into two parts.

On the other hand, merge sort has several advantages over heapsort:

Merge sort is used in external sorting; heapsort is not.

Heapsort is an in-place algorithm, but it is not a stable sort.

Heapsort can be performed in place.

Tournament sort is a variation of heapsort.

For example, heapsort is an in situ sorting algorithm.

This makes linked lists unsuitable for applications where it's useful to look up an element by its index quickly, such as heapsort.

Selection sorts include shaker sort and heapsort.

The most direct competitor of quicksort is heapsort.

Heapsort can be adapted to operate on doubly linked lists with only O(1) extra space overhead.

It is a variation of heapsort developed by Edsger Dijkstra in 1981.

But, heapsort is assumed to be on average somewhat slower than standard in-place quicksort.

Heapsort is a comparison-based sorting algorithm to create a sorted array (or list), and is part of the selection sort family.

Merge sort requires Ω(n) auxiliary space, but heapsort requires only a constant amount.

Like heapsort, smoothsort's upper bound is O(n log n).

Courseware on Heapsort from Univ.

Heapsort (AB only)

The first adaptive heapsort was Dijkstra's Smoothsort.

This allows Heapsort to run in O(n log n) time, and this is also the worst case complexity.

A suitable sorting algorithm is Heapsort that creates a sorted array in O(n log n) time.

Heaps are crucial in several efficient graph algorithms such as Dijkstra's algorithm, and in the sorting algorithm heapsort.

Any general-purpose sorting algorithm is appropriate for this, for example heapsort (which is O(n log n)).

Ternary heapsort uses a ternary heap instead of a binary heap; that is, each element in the heap has three children.