graphs-kpineiro 1.1.3

Homework 4 CS3250

Overview

• Heap: A special kind of binary tree where the parent node is always smaller than its child nodes.
• The smallest element is always at the top (heap[0]).
• Heaps are useful for efficiently managing priority queues.

Key Functions

• heappush(heap, item): Adds an item to the heap while maintaining its order.
• heappop(heap): Removes and returns the smallest item from the heap.
• heapify(x): Converts a list into a heap in place.
• heappushpop(heap, item): Adds an item to the heap, then removes and returns the smallest item.
• heapreplace(heap, item): Removes and returns the smallest item, then adds the new item to the heap.