Phylogenetic analysis and homology
Copyright policy )Phylogenetic analysis and homology
Abstract. Given a finite simplicial complex , we construct a chain-complex isomorphism from the simplicial chain complex of over endowed with the standard boundary operator (that maps any simplex onto the sum of all of its maximal subsets) to that same complex endowed with the incidence operator that maps any simplex to the sum of just all of its proper subsets. We also indicate why this became of interest in the context of the theory of phylogenetic diversity.
- Chinese Academy of Sciences China (People's Republic of)
- Shanghai Jiao Tong University China (People's Republic of)
- Max Planck Institute for Mathematics in the Sciences Germany
- Max Planck Society Germany
- Shanghai Institutes for Biological Sciences China (People's Republic of)
Matrix equations and identities, incidence operator, phylogenetic diversity, Combinatorial aspects of simplicial complexes, homology, simplicial complexes, boundary operator
Matrix equations and identities, incidence operator, phylogenetic diversity, Combinatorial aspects of simplicial complexes, homology, simplicial complexes, boundary operator
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