Graph Algorithms
Master complex graph problems: Dijkstra's for shortest paths, Topological Sort for dependencies, and Cycle Detection.
Master complex graph problems: Dijkstra's for shortest paths, Topological Sort for dependencies, and Cycle Detection. This hands-on tutorial focuses on practical implementation of graph algorithms concepts.
Graph Algorithms
Beyond simple traversal, graphs are used to solve complex real-world problems like GPS routing and task scheduling.
1. Dijkstra's Algorithm (Shortest Path)
Finds the shortest path from a starting node to all other nodes in a weighted graph with non-negative weights.
Shortest A to B: A -> C -> B (Cost: 3)
2. Topological Sort
Used for ordering nodes in a Directed Acyclic Graph (DAG) where some nodes must come before others (e.g., course prerequisites).
3. Cycle Detection
Determining if a graph contains a closed loop is critical for preventing infinite loops in systems.
- Undirected: Use BFS/DFS (check if neighbor is visited and NOT the parent).
- Directed: Use DFS (check if node is in the current recursion stack).
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Quiz
Quiz
Question 1 of 2Which algorithm is most suitable for finding the shortest path in a weighted graph?