Markovian log-supermodularity, and its applications in phylogenetics

DOI10.1016/j.aml.2008.10.005zbMath1179.92046arXiv0805.2936OpenAlexW2045899679MaRDI QIDQ845658

Beáta Faller, Mike A. Steel

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2936

zbMATH Keywords

FKG inequalityphylogenetic diversityAD inequality

Mathematics Subject Classification ID

Trees (05C05) Problems related to evolution (92D15) Applications of graph theory (05C90) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (3)

Implicit inequality constraints in a binary tree model ⋮ Robustness analysis of leader-follower consensus for multi-agent systems characterized by double integrators ⋮ Tensors of nonnegative rank two

Cites Work

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• Structuring causal trees
• Full reconstruction of Markov models on evolutionary trees: identifiability and consistency.
• Correlation inequalities on some partially ordered sets
• Recovering a tree from the leaf colourations it generates under a Markov model
• Distribution of phylogenetic diversity under random extinction
• An inequality for the weights of two families of sets, their unions and intersections

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