Flowcharts & Processes

Min-Heap Insertion and Sift-Up Logic

Flowcharts & Algorithms diagram · made in Skemio

Flowchart showing Min-Heap insertion and sift-up: appending to array, checking root status, comparing with parent, and swapping.
Flowchart showing Min-Heap insertion and sift-up: appending to array, checking root status, comparing with parent, and swapping.
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What it shows

  • New items append at the array end to maintain complete binary tree shape.
  • Parent index is found with floor((i - 1) / 2) in constant O(1) time.
  • Sifting swaps up until parent is smaller or root level is reached.

The takeaway

Min-heaps preserve tree balance effortlessly by appending to an array and swapping upward in O(log n) time.

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