Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
418542 | Discrete Applied Mathematics | 2011 | 7 Pages |
Abstract
Consensus trees have been used routinely in systematic biology for over 30 years with the majority-rule consensus tree among the most popular. In this paper we give axioms that characterize a new consensus function, called majority-rule (+), that is based on a generalization of majority-rule to the supertree case. In addition, two other related consensus functions are characterized.
► The new majority-rule (+) consensus function on hierarchies is characterized. ► We present axioms that characterize the loose consensus function on hierarchies. ► The function that is the union of majority-rule and loose consensus is characterized.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Jianrong Dong, David Fernández-Baca, F.R. McMorris, Robert C. Powers,