Phylogenetic network classes through the lens of expanding covers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929307847229440 |
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| author | Francis, Andrew Marchei, Daniele Steel, Mike |
| author_facet | Francis, Andrew Marchei, Daniele Steel, Mike |
| contents | It was recently shown that a large class of phylogenetic networks, the `labellable' networks, is in bijection with the set of `expanding' covers of finite sets. In this paper, we show how several prominent classes of phylogenetic networks can be characterised purely in terms of properties of their associated covers. These classes include the tree-based, tree-child, orchard, tree-sibling, and normal networks. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_06519 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phylogenetic network classes through the lens of expanding covers Francis, Andrew Marchei, Daniele Steel, Mike Populations and Evolution Combinatorics It was recently shown that a large class of phylogenetic networks, the `labellable' networks, is in bijection with the set of `expanding' covers of finite sets. In this paper, we show how several prominent classes of phylogenetic networks can be characterised purely in terms of properties of their associated covers. These classes include the tree-based, tree-child, orchard, tree-sibling, and normal networks. |
| title | Phylogenetic network classes through the lens of expanding covers |
| topic | Populations and Evolution Combinatorics |
| url | https://arxiv.org/abs/2306.06519 |