Data / Knowledge library
Prim's Algorithm
Grows a minimum spanning tree from the cheapest edge crossing its frontier
Why learn Prim's Algorithm?
It integrates naturally with priority queues and dense graph representations
The problem it solves
It finds a low-total-cost network connecting every vertex
Where it came from
Prim's Algorithm is a algorithm that grows a minimum spanning tree from the cheapest edge crossing its frontier. Its guarantees and tradeoffs depend on the concrete implementation and operating context.
Build your understanding
Work through these exercises in order. Try the task before opening a reference.
- Define Prim's Algorithm and distinguish it from a neighboring concept.
- Choose a realistic task where Prim's Algorithm is appropriate.
- Identify a failure mode caused by misusing Prim's Algorithm.
- Interpret a small design or result involving Prim's Algorithm.
- Explain one tradeoff or limitation of Prim's Algorithm.
Documentation and sources
- NIST Dictionary of Algorithms and Data Structures (xlinux.nist.gov)