Dijkstra’s Algorithm, Minimum Spanning Trees & Union Find Explained

In Part 1 we covered what graphs are and how to represent them. In Part 2 we explored BFS and DFS — the two ways to traverse a graph. Now it’s time for the advanced algorithms that solve real engineering problems: finding the shortest weighted path, connecting a network at minimum cost, and efficiently grouping READ MORE

BFS vs DFS Explained: Graph Traversal Algorithms with Code Examples

Every graph algorithm starts with the same fundamental question: how do we visit every node? Answering that question efficiently is the job of the two core traversal algorithms — Breadth-First Search (BFS) and Depth-First Search (DFS). By the end of this post you’ll understand how both work, when to use each, and how DFS extends READ MORE

Graph Data Structures Explained: A Beginner’s Guide to Nodes, Edges & Representations

If you’ve ever used Google Maps, browsed a social network, or watched a package get routed across the internet — you’ve already interacted with a graph without knowing it. Graphs are one of the most powerful and widely-used data structures in computer science, and understanding them will level up the way you think about problems. READ MORE