Phylogenetic analysis and homology

DOI10.1515/form.2011.070zbMath1242.05284OpenAlexW2333572112MaRDI QIDQ2890540

Andreas W. M. Dress, Yaokun Wu

Publication date: 11 June 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.070

zbMATH Keywords

simplicial complexeshomologyphylogenetic diversityboundary operatorincidence operator

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Split decomposition over an Abelian group. I: Generalities
• Even set systems
• Some uses of the Farris transform in mathematics and phylogenetics -- A review
• Split decomposition over an Abelian group. II: Group-valued split systems with weakly compatible support
• A canonical decomposition theory for metrics on a finite set
• Triadic distance models: axiomatization and least squares representation
• Reconstructing trees from subtree weights.
• Three-way distances
• Invariants of some probability models used in phylogenetic inference
• Phylogenetic diversity over an abelian group
• Parity splits by triple point distances in \(X\)-trees
• Mapping edge sets to splits in trees: the path index and parsimony
• Recognition of Tree Metrics
• Symmetric Matrices Representable by Weighted Trees over a Cancellative Abelian Monoid

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