Core Concepts
Efficiently scheduling teams to maximize phylogenetic diversity under time constraints and extinction risks.
Abstract
The content discusses the challenges of maximizing phylogenetic diversity in conservation planning under time pressure and extinction risks. It introduces the Maximize Phylogenetic Diversity (MPD) problem and its extensions, Time Sensitive Maximization of Phylogenetic Diversity (Time-PD) and Strict Time Sensitive Maximization of Phylogenetic Diversity (s-Time-PD). The article explores the NP-hardness of these problems, provides algorithms for solving them, and delves into parameterized complexity. It also highlights the relationship between these problems and machine scheduling issues.
Introduction:
Introduces the relevance of phylogenetic diversity in conservation planning.
Discusses the urgency due to increasing extinction risks.
Problem Definition:
Defines MPD and its extensions, Time-PD and s-Time-PD.
Highlights the complexities involved in considering extinction times.
Algorithm Design:
Proposes algorithms for solving Time-PD and s-Time-PD efficiently.
Utilizes dynamic programming techniques combined with color-coding.
Complexity Analysis:
Demonstrates that c-Time-PD is FPT with respect to diversity threshold D.
Shows that c-s-Time-PD can be solved efficiently using a similar approach.
Conclusion:
Concludes by summarizing the key findings regarding efficient scheduling for maximizing phylogenetic diversity under time constraints and extinction threats.
Stats
MPD is polynomial-time solvable by a greedy algorithm.
NP-hardness arises when each taxon has an associated integer cost.
The extension of MPD considers varying extinction times for taxa.
The problems are related to machine scheduling issues but with biological objectives.
Quotes
"We consider two extensions of MPD..."
"Our solution involves color-coding to reconcile conflicting structures."
"The division and delegation happen in Recurrence (4)."