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SCJ: Small Phylogeny Small phylogeny is polynomial under SCJ Treat - PowerPoint PPT Presentation

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SCJ: Small Phylogeny Small phylogeny is polynomial under SCJ Treat each adjacency as binary character Use Fitch's algorithm for each adjacency In the root, prefer 0 Fitch's algorithm 0 1 1 0 1 1 Fitch's algorithm 01 01 1

  1. SCJ: Small Phylogeny ● Small phylogeny is polynomial under SCJ ● Treat each adjacency as binary character ● Use Fitch's algorithm for each adjacency ● In the root, prefer 0

  2. Fitch's algorithm 0 1 1 0 1 1

  3. Fitch's algorithm 01 01 1 0 1 1 0 1 1

  4. Fitch's algorithm 01 01 01 1 0 1 1 0 1 1

  5. Fitch's algorithm 1 01 01 01 1 0 1 1 0 1 1

  6. Fitch's algorithm: going down 1 01 01 01 1 0 1 1 0 1 1

  7. Fitch's algorithm: going down 1 1 01 01 1 0 1 1 0 1 1

  8. Fitch's algorithm: going down 1 1 1 1 1 0 1 1 0 1 1

  9. SCJ: Big Phylogeny ● Big phylogeny is NP-hard under SCJ ● Steiner tree problem can be reduced to it

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