Geometry of the space of phylogenetic trees with non-identical leaves
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911100345253888 |
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| author | Cabrera, Maria Alejandra Valdez Willis, Amy D |
| author_facet | Cabrera, Maria Alejandra Valdez Willis, Amy D |
| contents | Phylogenetic trees summarize evolutionary relationships. The Billera-Holmes-Vogtmann (BHV) space for comparing phylogenetic trees has many elegant mathematical properties, but it does not encompass trees with differing leaf sets. To overcome this, we introduce Towering space: a complete metric space that extends BHV space to trees with non-identical leaf sets. Towering space is a structured collection of BHV spaces connected via pruning and regrafting operations. We study the geometry of paths in Towering space and present an algorithm for computing metric distances. By addressing a major limitation of BHV space, Towering space facilitates the analysis of modern phylogenetic datasets such as multi-domain gene trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometry of the space of phylogenetic trees with non-identical leaves Cabrera, Maria Alejandra Valdez Willis, Amy D Populations and Evolution Metric Geometry Quantitative Methods 51F99 Phylogenetic trees summarize evolutionary relationships. The Billera-Holmes-Vogtmann (BHV) space for comparing phylogenetic trees has many elegant mathematical properties, but it does not encompass trees with differing leaf sets. To overcome this, we introduce Towering space: a complete metric space that extends BHV space to trees with non-identical leaf sets. Towering space is a structured collection of BHV spaces connected via pruning and regrafting operations. We study the geometry of paths in Towering space and present an algorithm for computing metric distances. By addressing a major limitation of BHV space, Towering space facilitates the analysis of modern phylogenetic datasets such as multi-domain gene trees. |
| title | Geometry of the space of phylogenetic trees with non-identical leaves |
| topic | Populations and Evolution Metric Geometry Quantitative Methods 51F99 |
| url | https://arxiv.org/abs/2508.06747 |