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From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives

From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives

Applied Algebraic Topology Network via YouTube Direct link

Combinatorial Merge Trees

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Combinatorial Merge Trees

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Classroom Contents

From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives

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  1. 1 Introduction
  2. 2 Trees and Barcodes
  3. 3 Inverse Problem
  4. 4 Outline
  5. 5 Definitions
  6. 6 Barcodes
  7. 7 Combinatorial Merge Trees
  8. 8 Combinatorial Barcode
  9. 9 How many trees
  10. 10 The Coxster Complex
  11. 11 The Lattice
  12. 12 Summary
  13. 13 Future work
  14. 14 Questions
  15. 15 Randomized Bio Model

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