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

▶
scj small phylogeny
SMART_READER_LITE
LIVE PREVIEW

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

Dec 18, 2022 10 likes •104 views

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

slide-1
SLIDE 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
slide-2
SLIDE 2

Fitch's algorithm

1 1 1 1

slide-3
SLIDE 3

Fitch's algorithm

1 1 1 1 01 01 1

slide-4
SLIDE 4

Fitch's algorithm

1 1 1 1 01 01 1 01

slide-5
SLIDE 5

Fitch's algorithm

1 1 1 1 01 01 1 01 1

slide-6
SLIDE 6

Fitch's algorithm: going down

1 1 1 1 01 01 1 01 1

slide-7
SLIDE 7

Fitch's algorithm: going down

1 1 1 1 01 01 1 1 1

slide-8
SLIDE 8

1 1

Fitch's algorithm: going down

1 1 1 1 1 1 1

slide-9
SLIDE 9

SCJ: Big Phylogeny

  • Big phylogeny is NP-hard under SCJ
  • Steiner tree problem can be reduced to it