Ted Ralphs

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IE 411: Graphs and Network Flows

Miscellaneous Handouts and Course Information

  • Course Syllabus
  • Course Calendar (Google)

Lecture Slides

  • Introduction
  • Lecture 1: Paths, Trees, and Cycles
  • Lecture 2: Network Data Structures
  • Lecture 3: Computational Complexity
  • Lecture 4: Search Algorithms
  • Lecture 5: Shortest Path Problem
  • Lecture 6: Dijkstra’s Algorithm
  • Lecture 7: General Label-Correcting Algorithms
  • Lecture 8: All-Pairs Shortest Path Algorithms
  • Lecture 9: The Maximum Flow Problem
  • Lecture 10: Augmenting Path Algorithm
  • Lecture 11: Shortest Augmenting Path Algorithm
  • Lecture 12: Preflow-push Algorithm
  • Lecture 13: Minimum Cost Flow Problem
  • Lecture 14: Primal-Dual Algorithms
  • Lecture 15: Spanning Tree Solutions
  • Lecture 16: Network Simplex Algorithm
  • Lecture 17: Sensitivity Analysis
  • Lecture 18: Minimum Spanning Trees
  • Lecture 19: Matroids and Matching
  • Lecture 20: Multicommodity Flow Problems

Assignments

  • Problem Set #1
  • Problem Set #2
  • Problem Set #3
  • Problem Set #4
  • Final Project

Reference Texts

  • Course Text: Network Flows by Ravindra K. Ahuja, Thomas L. Magnanti, and James B. Orlin.

Course Software

  • GIDEN
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