Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks

Péter L. Erdős; Andrew Francis; Tamás Róbert Mezei

doi:10.1016/j.dam.2021.02.016

Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks

Péter L. Erdős, Andrew Francis, Tamás Róbert Mezei

Western Sydney University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We show that any two tree-based rooted binary phylogenetic networks (with the same number of reticulation nodes and identical degrees at the root) are connected by at most [Formula presented] rooted nearest-neighbour interchange (rNNI) moves. As a corollary of the proof we obtain that the diameter is at most a 2k additive term larger for distance-1 tail moves.

Original language	English
Pages (from-to)	205-213
Number of pages	9
Journal	Discrete Applied Mathematics
Volume	294
DOIs	https://doi.org/10.1016/j.dam.2021.02.016
Publication status	Published - 2021

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10.1016/j.dam.2021.02.016

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title = "Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks",

abstract = "We show that any two tree-based rooted binary phylogenetic networks (with the same number of reticulation nodes and identical degrees at the root) are connected by at most [Formula presented] rooted nearest-neighbour interchange (rNNI) moves. As a corollary of the proof we obtain that the diameter is at most a 2k additive term larger for distance-1 tail moves.",

author = "Erd{\H o}s, {P{\'e}ter L.} and Andrew Francis and Mezei, {Tam{\'a}s R{\'o}bert}",

year = "2021",

doi = "10.1016/j.dam.2021.02.016",

language = "English",

volume = "294",

pages = "205--213",

journal = "Discrete Applied Mathematics",

issn = "0166-218X",

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T1 - Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks

AU - Erdős, Péter L.

AU - Francis, Andrew

AU - Mezei, Tamás Róbert

PY - 2021

Y1 - 2021

N2 - We show that any two tree-based rooted binary phylogenetic networks (with the same number of reticulation nodes and identical degrees at the root) are connected by at most [Formula presented] rooted nearest-neighbour interchange (rNNI) moves. As a corollary of the proof we obtain that the diameter is at most a 2k additive term larger for distance-1 tail moves.

AB - We show that any two tree-based rooted binary phylogenetic networks (with the same number of reticulation nodes and identical degrees at the root) are connected by at most [Formula presented] rooted nearest-neighbour interchange (rNNI) moves. As a corollary of the proof we obtain that the diameter is at most a 2k additive term larger for distance-1 tail moves.

UR - http://hdl.handle.net/1959.7/uws:62779

U2 - 10.1016/j.dam.2021.02.016

DO - 10.1016/j.dam.2021.02.016

M3 - Article

SN - 0166-218X

VL - 294

SP - 205

EP - 213

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

ER -

Rooted NNI moves and distance-1 tail moves on tree-based phylogenetic networks

Abstract

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