Comparing trees via crossing minimization

Citations of this article
Mendeley users who have this article in their library.


We consider the following problem (and variants thereof) that has important applications in the construction and evaluation of phylogenetic trees: Two rooted unordered binary trees with the same number of leaves have to be embedded in two layers in the plane such that the leaves are aligned in two adjacent layers. Additional matching edges between the leaves give a one-to-one correspondence between pairs of leaves of the different trees. Our goal is to find two planar embeddings of the two trees (drawn without crossings) that minimize the number of crossings of the matching edges. We derive both (classical) complexity results and (parameterized) algorithms for this problem (and some variants thereof).1 © 2009 Elsevier Inc. All rights reserved.




Fernau, H., Kaufmann, M., & Poths, M. (2010). Comparing trees via crossing minimization. Journal of Computer and System Sciences, 76(7), 593–608.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free