Optimal Algorithm to Reconstruct a Tree from a Subtree Distance

February 23, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Takanori Maehara, Kazutoshi Ando arXiv ID 1902.08742 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
This paper addresses the problem of finding a representation of a subtree distance, which is an extension of the tree metric. We show that a minimal representation is uniquely determined by a given subtree distance, and give a linear time algorithm that finds such a representation. This algorithm achieves the optimal time complexity.
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