Biologically Unavoidable Sequences

Samuel A Alexander

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.


Keywords


infinite graphs; König's lemma; mathematical biology; game of life

Full Text: PDF