A property tester for tree-likeness of quartet topologies
學年 98
學期 2
出版（發表）日期 2010-07-09
作品名稱 A property tester for tree-likeness of quartet topologies
作品名稱（其他語言）
著者 Maw-Shang Chang; Chuang-Chieh Lin; Peter Rossmanith
單位
出版者
著錄名稱、卷期、頁數 Theory of Computing Systems 49, pp.576–587
摘要 Property testing is a rapid growing field in theoretical computer science. It considers the following task: given a function f over a domain D, a property ℘ and a parameter 0<ε<1, by examining function values of f over o(|D|) elements in D, determine whether f satisfies ℘ or differs from any one which satisfies ℘ in at least ε|D| elements. An algorithm that fulfills this task is called a property tester. We focus on tree-likeness of quartet topologies, which is a combinatorial property originating from evolutionary tree construction. The input function is f Q , which assigns one of the three possible topologies for every quartet over an n-taxon set S. We say that f Q satisfies tree-likeness if there exists an evolutionary tree T whose induced quartet topologies coincide with f Q . In this paper, we prove the existence of a set of quartet topologies of error number at least c(n4) for some constant c>0, and present the first property tester for tree-likeness of quartet topologies. Our property tester makes at most O(n 3/ε) queries, and is of one-sided error and non-adaptive.
關鍵字 Randomized algorithm;Property testing;Evolutionary tree;Quartet consistency
語言 en_US
ISSN 1433-0490
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Chuang-Chieh Lin
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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