Abstract:We study the problem of maximizing a monotone submodular function with
viability constraints. This problem originates from computational biology,
where we are given a phylogenetic tree over a set of species and a directed
graph, the so-called food web, encoding viability constraints between these
species. These food webs usually have constant {depth}. The goal is to select a
subset of $k$ species that satisfies the viability constraints and has maximal
phylogenetic diversity. As this problem is known to be NP-… Show more
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