Title
Bounds on the Expected Size of the Maximum Agreement Subtree.
Abstract
We prove lower bounds on the expected size of the maximum agreement subtree of two random binary phylogenetic trees under both the uniform distribution and the Yule-Harding distribution and prove upper bounds under the Yule-Harding distribution. This positively answers a question posed in earlier work. Determining tight upper and lower bounds remains an open problem.
Year
DOI
Venue
2015
10.1137/140997750
SIAM JOURNAL ON DISCRETE MATHEMATICS
Keywords
Field
DocType
random trees,agreement subtrees,Yule-Harding distribution
Discrete mathematics,Combinatorics,Open problem,Upper and lower bounds,Tree (data structure),Uniform distribution (continuous),Mathematics,Binary number
Journal
Volume
Issue
ISSN
29
4
0895-4801
Citations 
PageRank 
References 
2
0.42
5
Authors
6
Name
Order
Citations
PageRank
Daniel Irving Bernstein141.86
Lam Si Tung Ho2184.96
Colby Long341.50
Mike A. Steel421022.33
Katherine St. John520.42
Seth Sullivant69319.17