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This lecture introduces graph algorithms, starting with the modeling of graphs to represent relationships between objects. It covers the concepts of directed and undirected graphs, weighted graphs, and multigraphs. The lecture also explains the modeling of real-world problems using graphs, such as the famous Seven Bridges of Königsberg problem. Furthermore, it delves into graph traversal algorithms like breadth-first search (BFS) and depth-first search (DFS), which are essential for exploring and analyzing graph structures efficiently.