Dijkstra's Shortest Path Algorithm Visually Explained | How it Works | With Examples

Master Dijkstra’s Algorithm in 10 minutes — see every step visualised and learn how to use priority queues to find shortest paths in any weighted graph. Dijkstra’s Algorithm is the go-to method for GPS routing, network optimisation, and game AI. In this concise, animation-driven lesson you’ll learn: → Graph basics in 60 sec – vertices, edges, weights → How to build the distance table & priority queue → Step-by-step walkthrough of each relaxation update → What “decrease-key” really does and why Fibonacci heaps can speed things up → Time & space complexity breakdown so you can ace your next interview Whether you’re prepping for a coding interview, cramming for an algorithms exam, or building path-finding into your own project, this video will give you the intuition and the maths. Chapters: 0:00 Intro – The sample graph 0:12 Building the tracking table 0:36 Choosing the start node 0:49 Filling the priority queue 1:01 Main loop begins 1:11 Visitng A's neighbours 2:36 Processing node b 3:09 Updating E & C via B 3:40 Tie-break: picking E, decrease-key 4:39 What "decrease key" means 8:32 Queue empties -algorithm ends 8:42 Back-tracing shortest path A → C 9:17 Time & space complexity More Visually Explained algorithms: Knuth–Morris–Pratt (KMP) – Pattern-matching in O(n) → https://youtu.be/q4_90fOoS-s Depth-First Search – Traverse any graph like a pro → https://youtu.be/84jNzUOY78c Graphs 101 – Adjacency lists vs matrices → https://youtu.be/OpW4exs0PHI Binary Search Trees – Insert, search & delete visually → https://youtu.be/vPfLvtk9dfk Linked Lists – Pointers made simple → https://youtu.be/PsTvZ_htHT8 Tools & Credits Manim (Python library by 3Blue1Brown) for all visuals Adobe Premiere Pro for editing Music: “Sovereign” by Kevin MacLeod (CC-BY 3.0) via Incompetech / Chosic https://incompetech.com/ https://www.chosic.com/free-music/all/ https://creativecommons.org/licenses/by/3.0/ #DijkstrasAlgorithm #ShortestPath #GraphTheory #DataStructures #AlgorithmVisualization #CodingInterview #Manim Enjoyed the video? Hit Subscribe for weekly, bite-sized algorithm animations!