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2010

Quantifying the Degree of Self-Nestedness of Trees: Application to the Structural Analysis of Plants

8 years 5 months ago
Quantifying the Degree of Self-Nestedness of Trees: Application to the Structural Analysis of Plants
In this paper we are interested in the problem of approximating trees by trees with a particular self-nested structure. Self-nested trees are such that all their subtrees of a given height are isomorphic. We show that these trees present remarkable compression properties, with high compression rates. In order to measure how far a tree is from being a self-nested tree, we then study how to quantify the degree of self-nestedness of any tree. For this, we define a measure of the self-nestedness of a tree by constructing a self-nested tree that minimizes the distance of the original tree to the set of self-nested trees that embed the initial tree. We show that this measure can be computed in polynomial time and depict the corresponding algorithm. The distance to this nearest embedding self-nested tree (NEST) is then used to define compression coefficients that reflect the compressibility of a tree. To illustrate this approach, we then apply these notions to the analysis of plant branching ...
Christophe Godin, Pascal Ferraro
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where TCBB
Authors Christophe Godin, Pascal Ferraro
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