# Biologically Unavoidable Sequences

• Published in 2012
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 Koenig's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.

## Other information

arxivId
1212.0186
pages
9
volume
63

### BibTeX entry

@article{Alexander2012,
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 Koenig's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.},
archivePrefix = {arXiv},
arxivId = {1212.0186},
author = {Alexander, Samuel},
eprint = {1212.0186},
month = {dec},
pages = 9,
title = {Biologically Unavoidable Sequences},
url = {http://arxiv.org/abs/1212.0186 http://arxiv.org/pdf/1212.0186v2},
volume = 63,
year = 2012,
primaryClass = {math.CO},
urldate = {2012-12-16}
}