Counting labeled trees

Related lectures (23)

Page 2 of 3

Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

Explores Cheeger's inequalities for random walks on graphs and their implications.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

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

Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.

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

Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.

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

Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.