Nodal Distance Algorithm: Calculating a Phylogenetic Tree Comparison Metric
BIBE '03 Proceedings of the 3rd IEEE Symposium on BioInformatics and BioEngineering
Phylogenetic Networks: Modeling, Reconstructibility, and Accuracy
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Rooted Maximum Agreement Supertrees
Algorithmica
Algorithms for Combining Rooted Triplets into a Galled Phylogenetic Network
SIAM Journal on Computing
Inferring a level-1 phylogenetic network from a dense set of rooted triplets
Theoretical Computer Science - Computing and combinatorics
Constructing the Simplest Possible Phylogenetic Network from Triplets
ISAAC '08 Proceedings of the 19th International Symposium on Algorithms and Computation
Metrics for Phylogenetic Networks I: Generalizations of the Robinson-Foulds Metric
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Comparison of Tree-Child Phylogenetic Networks
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Constructing level-2 phylogenetic networks from triplets
RECOMB'08 Proceedings of the 12th annual international conference on Research in computational molecular biology
Metrics for Phylogenetic Networks I: Generalizations of the Robinson-Foulds Metric
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Path lengths in tree-child time consistent hybridization networks
Information Sciences: an International Journal
On Nakhleh's Metric for Reduced Phylogenetic Networks
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A Metric on the Space of Reduced Phylogenetic Networks
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Metrics on Multilabeled Trees: Interrelationships and Diameter Bounds
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Computing the rooted triplet distance between galled trees by counting triangles
Journal of Discrete Algorithms
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The assessment of phylogenetic network reconstruction methods requires the ability to compare phylogenetic networks. This is the second in a series of papers devoted to the analysis and comparison of metrics for tree-child time consistent phylogenetic networks on the same set of taxa. In this paper, we generalize to phylogenetic networks two metrics that have already been introduced in the literature for phylogenetic trees: the nodal distance and the triplets distance. We prove that they are metrics on any class of tree-child time consistent phylogenetic networks on the same set of taxa, as well as some basic properties for them. To prove these results, we introduce a reduction/expansion procedure that can be used not only to establish properties of tree-child time consistent phylogenetic networks by induction, but also to generate all tree-child time consistent phylogenetic networks with a given number of leaves.