Publications - Published papers
Please find below publications of our group. Currently, we list 565 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (
) is restricted to our local network and chosen collaborators.
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) is restricted to our local network and chosen collaborators.
If you have problems accessing electronic information, please let us know:©NOTICE: All papers are copyrighted by the authors; If you would like to use all or a portion of any paper, please contact the author.
Simple models for scaling in phylogenetic trees
Emilio Hernandez-Garcia, Murat Tugrul, E. Alejandro Herrada, Victor M. Eguiluz, Konstantin Klemm
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Status: Published
International Journal of Bifurcation and Chaos 20:805-811 (2010)
Abstract
Many processes and models — in biological, physical, social, and other contexts — produce trees
whose depth scales logarithmically with the number of leaves. Phylogenetic trees, describing
the evolutionary relationships between biological species, are examples of trees for which such
scaling is not observed. With this goal, we analyze numerically two branching models leading to
nonlogarithmic scaling of the depth with the number of leaves. For Ford’s alpha model, although
a power-law scaling of the depth with tree size was established analytically, our numerical results
illustrate that the asymptotic regime is approached only at very large tree sizes. We introduce
here a new model, the activity model, showing analytically and numerically that it also displays
a power-law scaling of the depth with tree size at a critical parameter value.