Explore the fascinating world of graph theory, from fundamental concepts to real-world applications, and unlock its power in solving complex problems across various domains.
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Fundamentals of Graph Theory
Unit 1: Introduction to Graphs
Unit 2: Basic Graph Terminology
Unit 3: Types of Graphs
Graph Representation and Traversal
Unit 1: Adjacency Matrix Representation
Unit 2: Adjacency List Representation
Unit 3: BFS (Breadth-First Search)
Unit 4: DFS (Depth-First Search)
Unit 5: Graph Traversal Applications
Shortest Paths and Minimum Spanning Trees
Unit 1: Dijkstra's Algorithm Fundamentals
Unit 2: Dijkstra's Algorithm In-Depth
Unit 3: Bellman-Ford Algorithm
Unit 4: Minimum Spanning Trees - Prim's and Kruskal's