Constructing Extended Formulations

Constructing Extended Formulations

Simons Institute via YouTube Direct link

Branched Combinatorial/Polyhedral Systems

16 of 24

16 of 24

Branched Combinatorial/Polyhedral Systems

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Classroom Contents

Constructing Extended Formulations

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  1. 1 Intro
  2. 2 Convex Hulls and Linear Programming
  3. 3 Representations as Projections
  4. 4 Completion Times Polytope
  5. 5 Unions of Polytopes
  6. 6 Special Matchings
  7. 7 Colorful Matching Polytopes
  8. 8 Making all Matchings Colorful
  9. 9 Perfect Hash Functions
  10. 10 Outline
  11. 11 Special Cycles
  12. 12 Colorful Cycles with Prescribed Node a
  13. 13 Colorful Cycle Polytopes (Prescribed Node)
  14. 14 Combining Things for Cycle Polytopes
  15. 15 Hyperpath Polytopes
  16. 16 Branched Combinatorial/Polyhedral Systems
  17. 17 Extended Formulatations via Duality
  18. 18 Application to Spanning Tree Polytopes
  19. 19 Extended Formulations for Non-Empty Subgraphs Polytopes All Subgraphs Polytope of G
  20. 20 Non-Extended Formulations of Nonempty-Subgraphs Polytopes
  21. 21 Graphs of Bounded Genus
  22. 22 Spanning Trees in Planar Graphs
  23. 23 Linear Description of Pub
  24. 24 Polynomial Spanning Tree Optimization Setup for G=(V. E), MS2 (acyclic subsets)

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