From: Distinguishing successive ancient polyploidy levels based on genome-internal syntenic alignment

Model \(M\in \mathscr {M}\) | Tripling- | Tripling- | Doubling- | Doubling- |
---|---|---|---|---|

tripling | doubling | tripling | doubling | |

Triplet \(\Delta \in \mathscr {T}\) | (3,3) | (3,2) | (2,3) | (2,2) |

{t_{1},t_{1},t_{1}} | u^{′}(1+2v^{′}+v)^{3} | u^{′}(1+v)^{3} | - | - |

{t_{1},t_{1},t_{2}} | 2(3u^{′}+u)(3v^{′}+v) | 2(3u^{′}+u) | 2u(3v^{′}+v) | (2u)v(1+v) |

×(1+2v^{′}+v) | ×v(1+v) | ×(1+2v^{′}+v) | ||

{t_{1},t_{2},t_{2}} | - | - | - | - |

{t_{2},t_{2},t_{2}} | (1+2u^{′}+u)v^{′} | - | (1+u)v^{′} | - |