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On a matching distance between rooted phylogenetic trees

Abstract

The Robinson–Foulds (RF) distance is the most popular method of evaluating the dissimilarity between phylogenetic trees. In this paper, we define and explore in detail properties of the Matching Cluster (MC) distance, which can be regarded as a refinement of the RF metric for rooted trees. Similarly to RF, MC operates on clusters of compared trees, but the distance evaluation is more complex. Using the graph theoretic approach based on a minimum-weight perfect matching in bipartite graphs, the values of similarity between clusters are transformed to the final MC-score of the dissimilarity of trees. The analyzed properties give insight into the structure of the metric space generated by MC, its relations with the Matching Split (MS) distance of unrooted trees and asymptotic behavior of the expected distance between binary n-leaf trees selected uniformly in both MC and MS (Θ(n^1.5)).

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Keywords

Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
International Journal of Applied Mathematics and Computer Science no. 23, pages 669 - 684,
ISSN: 1641-876X
Language:
English
Publication year:
2013
Bibliographic description:
Bogdanowicz D., Giaro K.: On a matching distance between rooted phylogenetic trees// International Journal of Applied Mathematics and Computer Science. -Vol. 23, nr. 3 (2013), s.669-684
DOI:
Digital Object Identifier (open in new tab) 10.2478/amcs-2013-0050
Verified by:
Gdańsk University of Technology

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