Accessibility percolation on Cartesian power graphs

DOI10.1007/s00285-023-01882-zOpenAlexW2994800756MaRDI QIDQ2685706

Joachim Krug, Benjamin Schmiegelt

Publication date: 22 February 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07925

zbMATH Keywords

percolationfitness landscapeadaptive walksgenotype graph

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Related Items (1)

Alphabet cardinality and adaptive evolution

Cites Work

• Unnamed Item
• The number of accessible paths in the hypercube
• Unoriented first-passage percolation on the \(n\)-cube
• Universality classes of interaction structures for NK fitness landscapes
• First-passage percolation on Cartesian power graphs
• Phase transition for accessibility percolation on hypercubes
• The peaks and geometry of fitness landscapes
• Evolutionary accessibility of modular fitness landscapes
• On the existence of accessible paths in various models of fitness landscapes
• Accessibility percolation with backsteps
• Quantitative analyses of empirical fitness landscapes
• A simple model for the balance between selection and mutation

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