Intermediate Topic 22 of 52 Data Structures
Heaps
Complete trees satisfying a parent-versus-child ordering property.
How it works
A heap is a complete binary tree where each parent is ≤ (min-heap) or ≥ (max-heap) its children, stored compactly in an array with children at 2i+1 and 2i+2.
Where it is used
Priority queues, heap sort, finding k largest items.
Common pitfall
A heap is not sorted overall; only the root is guaranteed extreme, and arbitrary search is O(n).
Where it fits in the course
Heaps is topic 22 of 52 in Data Structures, rated Intermediate. It follows B+ Trees. The next topic is Binary Heap Operations.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Data Structures quiz.
- Explore the Binary Search Tree visualizer: Insert keys and run traversals.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Data Structures quiz, and revisit the topic if you miss a question.
Frequently asked questions
What is Heaps?
Complete trees satisfying a parent-versus-child ordering property. It belongs to Data Structures and is an intermediate-level topic.
Where do people use Heaps?
Priority queues, heap sort, finding k largest items.
What is the most common mistake with Heaps?
A heap is not sorted overall; only the root is guaranteed extreme, and arbitrary search is O(n).
What should I learn before this topic?
Start with B+ Trees, the topic just before it in Data Structures.
How can I practice it?
Answer the mini quiz in the interactive lesson, then take the Data Structures quiz. You can also explore Binary Search Tree in the Visual Lab.
Is Heaps hard to learn?
It is an Intermediate topic. Be comfortable with the Beginner topics in this area first, then read the common pitfall carefully, since it is where most mistakes happen.
How long does it take to learn Heaps?
Most learners can read the explanation and finish the interactive lesson in under an hour. Fluency comes from applying the idea, so plan a few short practice sessions with the quiz.
Which topics are related to Heaps?
B+ Trees, Binary Heap Operations, B-Trees are closely connected. The full list is in the related topics section of this page.
What should I study after Heaps?
Continue with Binary Heap Operations, the next topic in Data Structures.
Related topics
- B+ Trees (Data Structures)
- Binary Heap Operations (Data Structures)
- B-Trees (Data Structures)
- Tries (Data Structures)