Efficient Algorithms for Local Forest Similarity

Abstract

An ordered labelled tree is a tree where the left-to-right order among siblings is significant. Ordered labelled forests are sequences of ordered labelled trees. Given two ordered labelled forests F and G. the local forest similarity is to find two sub­ forests F\u27 and G\u27 of F and G respectively such that they are the most similar over all possible F\u27 and G\u27. In this thesis, we present efficient algorithms for the local forest similarity problem for two types of sub-forests: sibling subforests and closed subforests. Our algorithms can be used to locate the structural regions in RNA secondary structures since RNA molecules’ secondary structures could be represented as ordered labelled forests

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