Flow Networks: Understanding Flows and Cuts in Algorithms

Related lectures (29)

Page 3 of 3

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Covers finding the shortest path in directed graphs efficiently using algorithmic approaches and discussing related NP-complete problems.

Explores Breadth-First Search and Dijkstra's algorithm for finding shortest paths in graphs.

Introduces the basics of graph algorithms, covering traversal, representation, and data structures for BFS and DFS.

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

Covers the basics of graph theory, including network flows, degrees of vertices, walks, and subgraphs.

Explores network flows, simplex method, linear programming, tree solutions, and dual solutions in optimization problems.

Covers graph properties, representations, and traversal algorithms using BFS and DFS.

Explores the properties of trees in graph theory, focusing on nodes, paths, cycles, and the characterization of trees in a directed graph.