Dichotomy for Graph Homomorphisms with Complex Values on Bounded Degree Graphs

Dichotomy for Graph Homomorphisms with Complex Values on Bounded Degree Graphs

IEEE FOCS: Foundations of Computer Science via YouTube Direct link

Introduction

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1 of 28

Introduction

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Dichotomy for Graph Homomorphisms with Complex Values on Bounded Degree Graphs

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  1. 1 Introduction
  2. 2 Graph homomorphism
  3. 3 Partition function
  4. 4 Vertex weights
  5. 5 Partition functions
  6. 6 Ease model
  7. 7 Other similar models
  8. 8 Complex theory
  9. 9 Dichotomy
  10. 10 Generating Sets
  11. 11 Purification
  12. 12 Structure
  13. 13 Thickening
  14. 14 Edge Gadgets
  15. 15 Multiplicatively Broken One
  16. 16 Matrix
  17. 17 Nonmultiplicative Block Requirements
  18. 18 Vandermot Argument
  19. 19 Contrapositive
  20. 20 Case gadgets
  21. 21 Replace every vertex
  22. 22 Vendor mode
  23. 23 Exponential polynomial
  24. 24 Transfer procedure
  25. 25 Outline main proof
  26. 26 Example of meta argument
  27. 27 Strengthens
  28. 28 Constructivity

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