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Biologically Unavoidable Sequences
Electronic Journal of Combinatorics 20 (1):1-13 (2013)
Abstract
A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes König's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.Author's Profile
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Citations of this work
Infinite graphs in systematic biology, with an application to the species problem.Samuel A. Alexander - 2013 - Acta Biotheoretica 61 (2):181--201.
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Infinite graphs in systematic biology, with an application to the species problem.Samuel A. Alexander - 2013 - Acta Biotheoretica 61 (2):181--201.
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