Graph Algorithms: Flows and Strongly Connected Components

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Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.

Explores DFS, Topological Sort, SCC in graphs, and introduces Flow Networks with practical examples.

Introduces unweighted bipartite matching and its solution using linear programming and the simplex method.

Covers the fundamentals of connectivity in graph theory, including paths, cycles, and spanning trees.

Explores topological sort, acyclic graphs, Strongly Connected Components, magic algorithm, component graph, flow networks, and their applications.

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Introduces network data structures, models, and analysis techniques, emphasizing permutation invariance and Erdős-Rényi networks.

Introduces Strongly Connected Components and Flow Networks, discussing algorithms and applications.

Explores the Szemerédi Regularity Lemma, e-regularity in bipartite graphs, supergraph structure, and induction techniques.

Introduces elementary graph algorithms, focusing on Breadth-First Search and Depth-First Search.