# Biologically Unavoidable Sequences

- Published in 2012
- Added on

In the collection

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.

## Links

## Other information

- key
- Alexander2012
- type
- article
- date_added
- 2012-12-16
- date_published
- 2012-12-01
- arxivId
- 1212.0186
- pages
- 9
- volume
- 63

### BibTeX entry

@article{Alexander2012, key = {Alexander2012}, type = {article}, title = {Biologically Unavoidable Sequences}, author = {Alexander, Samuel}, 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.}, comment = {}, date_added = {2012-12-16}, date_published = {2012-12-01}, urls = {http://arxiv.org/abs/1212.0186,http://arxiv.org/pdf/1212.0186v2}, collections = {Fun maths facts}, archivePrefix = {arXiv}, arxivId = {1212.0186}, eprint = {1212.0186}, month = {dec}, pages = 9, url = {http://arxiv.org/abs/1212.0186 http://arxiv.org/pdf/1212.0186v2}, volume = 63, year = 2012, primaryClass = {math.CO}, urldate = {2012-12-16} }