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arXiv · 1810.10860

Approximation of trees by self-nested trees

Romain Azaïs·Jean-Baptiste Durand·Christophe Godin
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Abstract

The class of self-nested trees presents remarkable compression properties because of the systematic repetition of subtrees in their structure. In this paper, we provide a better combinatorial characterization of this specific family of trees. In particular, we show from both theoretical and practical viewpoints that complex queries can be quickly answered in self-nested trees compared to general trees. We also present an approximation algorithm of a tree by a self-nested one that can be used in fast prediction of edit distance between two trees.

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Romain Azaïs, Jean-Baptiste Durand, Christophe Godin. 2018-10-25. Approximation of trees by self-nested trees. https://arxiv.org/abs/1810.10860

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