Graph Algorithms
IntermediateExplore algorithms for traversing and analyzing networks
Core Concepts
- Graph representation (adjacency matrix/list)
- Breadth-First Search (BFS)
- Depth-First Search (DFS)
- Shortest path algorithms
- Minimum spanning trees
Real-World Uses
- Social network analysis
- Route planning (GPS)
- Network topology optimization
- Recommendation systems
- Dependency resolution
You Will Learn
- Understand graph traversal techniques
- Find shortest paths between nodes
- Build minimum spanning trees
- Solve real-world network problems
Prerequisites Required
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Algorithms in this Category
Breadth-First Search (BFS)
GraphsA graph traversal algorithm that explores neighbors first before moving to the next level of neighbors.
Depth-First Search (DFS)
GraphsA graph traversal algorithm that explores as far as possible along each branch before backtracking.
Dijkstra's Algorithm
GraphsAn algorithm for finding the shortest paths between nodes in a graph, which may represent, for example, road networks.
Bellman-Ford Algorithm
GraphsAn algorithm that computes shortest paths from a single source vertex to all other vertices in a weighted digraph, even with negative edge weights.
Prim's Algorithm
GraphsA greedy algorithm that finds a minimum spanning tree for a weighted undirected graph.
Kruskal's Algorithm
GraphsA greedy algorithm that finds a minimum spanning tree for a weighted undirected graph by adding edges in increasing order of weight.