It's well-known that the worst-case runtime for heapsort is Ω(n lg n), but I'm having trouble seeing why this is. In particular, the first step of heapsort (making a max-heap) takes time &The...

The Heap Sort sorting algorithm seems to have a worst case complexity of O(nlogn), and uses O(1) space for the sorting operation. This seems better than most sorting algorithms. Then, why wo...

I've been trying to figure this out for a couple days now. I have a problem for school that says the following: Let A be a min-heap. The operation HEAP-MODIFY(A, i, k) changes the key in the n...

A while back we were given an assignment to write a c program that sorts an array of n numbers using a d-ary max-heap (a heap where each node has up to d children). The program needed to ask the us...

Can some one describe an algorithm that finds all keys smaller than x in an array implementation of a min-heap. I want the running time to be at least O(k) where k is the number of keys reported. ...

I need to write a sorting program in C and it would be nice if the file could be sorted in place to save disk space. The data is valuable, so I need to ensure that if the process is interrupted (ct...