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Operads and phylogenetic trees

Abstract:

We construct an operad Phyl whose operations are the edge-labelled trees used in phylogenetics. This operad is the coproduct of Com, the operad for commutative semigroups, and $[0,\infty)$, the operad with unary operations corresponding to nonnegative real numbers, where composition is addition. We show that there is a homeomorphism between the space of n-ary operations of Phyl and $\T_n\times [0,\infty)^{n+1}$, where $\T_n$ is the space of metric n-trees introduced by Billera, Holmes and Vog...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS Division
Publisher:
Mount Allison University Publisher's website
Journal:
Theory and Applications of Categories Journal website
Volume:
32
Issue:
40
Pages:
1397-1453
Publication date:
2017-10-04
Acceptance date:
2017-09-29
ISSN:
1201-561X
Pubs id:
pubs:734752
URN:
uri:f9a99559-567a-494e-872d-3ebee50b5cbe
UUID:
uuid:f9a99559-567a-494e-872d-3ebee50b5cbe
Local pid:
pubs:734752

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