[ToDo] CS261: Optimization and Algorithmic Paradigms

Dated Jan 1, 2010; last modified on Mon, 05 Sep 2022

  • Approximation algorithms for Vertex Cover and Metric Steiner Tree
  • Approximation of General Steiner Tree
  • Versions of the Traveling Salesman Problem. Eulerian loops.
  • 1.5-approximate Algorithm for Metric TSP. The Set Cover Problem.
  • Introduction to Linear Programming
  • Linear Programming Duality
  • Linear Programming Relaxation of Vertex Cover
  • Linear Programming Relaxation of Set Cover
  • The Maximum Flow - Minimum Cut Theorem
  • Maximum Flow Algorithms: Choosing the Fattest Augmenting Path
  • Edmonds-Karp and Push-Relabel Algorithms
  • Analysis of the Push-Relabel Algorithm
  • Algorithms for the Global Min-Cut Problem
  • Algorithms for Maximum Matching and Vertex Cover in Bipartite Graphs
  • The Linear Programming Formulation of Maximum Cut and its Dual
  • Multi-commodity Flows and the Sparsest Cut Problem
  • Introduction to Online Algorithms
  • Using Expert Advice
  1. CS261: Optimization and Algorithmic Paradigms. Luca Trevisan. people.eecs.berkeley.edu .