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Star Clusters in Clique Complexes and the Vietoris-Rips Complex of Planar Sets

Star Clusters in Clique Complexes and the Vietoris-Rips Complex of Planar Sets

Applied Algebraic Topology Network via YouTube Direct link

Introduction

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Introduction

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Classroom Contents

Star Clusters in Clique Complexes and the Vietoris-Rips Complex of Planar Sets

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  1. 1 Introduction
  2. 2 Independence complexes of graphs
  3. 3 Star clusters
  4. 4 Independence complexes
  5. 5 Proof
  6. 6 Applications
  7. 7 Other homotopic types
  8. 8 Nontrivial lower bounds
  9. 9 Contractile subcomplex
  10. 10 Questions
  11. 11 Uniform bound

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