NDLI: Optimizing Phylogenetic Diversity with Ecological Constraints

Content Provider	Springer Nature Link
Author	Welsh, Dominic Semple, Charles Faller, Beáta
Copyright Year	2011
Abstract	Given an edge-weighted tree $${\mathcal {T}}$$ with leaf set X, define the weight of a subset S of X as the sum of the edge-weights of the minimal subtree of $${\mathcal {T}}$$ connecting the elements in S. It is known that the problem of selecting subsets of X of a given size to maximize this weight can be solved using a greedy algorithm. This optimization problem arises in conservation biology where the weight is referred to as the phylogenetic diversity of a taxa set S. Here, we consider the extension of this problem whereby we are only interested in selecting subsets of the taxa set that are ecologically “viable”. Such subsets are specified by an acyclic digraph which represents, for example, a food web. This additional constraint makes the problem computationally hard. In this paper, we analyze the complexity of different variations of the extended problem.
Ending Page	266
Page Count	12
Starting Page	255
File Format	PDF
ISSN	02180006
e-ISSN	02193094
Journal	Annals of Combinatorics
Issue Number	2
Volume Number	15
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2011-05-15
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Trees phylogenetic tree food web phylogenetic diversity Combinatorics Problems related to evolution
Content Type	Text
Resource Type	Article
Subject	Discrete Mathematics and Combinatorics

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Optimizing Phylogenetic Diversity with Ecological Constraints