Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
427687 | Information Processing Letters | 2012 | 5 Pages |
Abstract
Dowden (2010) [2] showed that the maximum size of a minimal definitive set QQ of quartets is at least 2n−82n−8, for all n⩾4n⩾4, where n is the size of the label set of QQ. In this paper, we show that the maximum size of such a set of quartets is at least Ω(n2)Ω(n2) and, moreover, is strictly less than n3n3, for all n⩾4n⩾4.
► We investigate the maximum size of a minimal definitive set of quartets. ► Previous results showed it is at least linear in the size of the label set. ► We show it is at least quadratic and at most cubic in the size of the label set.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Max Dietrich, Catherine McCartin, Charles Semple,