Two results on evolutionary processes on general non-directed graphs

DOI10.1098/rspa.2010.0067zbMath1211.92041OpenAlexW2099435513MaRDI QIDQ2997293

B. T. Stadler, Christoforos Hadjichrysanthou, Jan Rychtář, Mark Broom

Publication date: 6 May 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0067

zbMATH Keywords

Markov chainevolutionary dynamicsirregular graphsrandom drift

Mathematics Subject Classification ID

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 (14)

Modelling evolution in structured populations involving multiplayer interactions ⋮ A multispecies birth-death-immigration process and its diffusion approximation ⋮ Reproductive value in graph-structured populations ⋮ Emerging Behavioral Consensus of Evolutionary Dynamics on Complex Networks ⋮ Martingales and the fixation probability of high-dimensional evolutionary graphs ⋮ Strong bounds for evolution in networks ⋮ A study of the dynamics of multi-player games on small networks using territorial interactions ⋮ Coexistence equilibria of evolutionary games on graphs under deterministic imitation dynamics ⋮ Approximating fixation probabilities in the generalized Moran process ⋮ Evolutionary graph theory derived from eco-evolutionary dynamics ⋮ Environmental evolutionary graph theory ⋮ Fixation probabilities for simple digraphs ⋮ Evolutionary dynamics on graphs -- the effect of graph structure and initial placement on mutant spread ⋮ Unnamed Item

Cites Work

• An analysis of the fixation probability of a mutant on special classes of non-directed graphs

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