Autor:	Connor, John
Rok vydání:	2016
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	This paper gives a short overview of Zimin words, and proves an interesting property of their distribution. Let $L_q^m$ to be the lexically ordered sequence of $q$-ary words of length $m$, and let $T_n(L_q^m)$ to be the binary sequence where the $i$-th term is $1$ if and only if the $i$-th word of $L_q^m$ encounters the $n$-th Zimin word, $Z_n$. We show that the sequence $T_n(L_q^m)$ is an instance of $Z_{n+1}$ when $1 < n$ and $m=2^n-1$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1611.01061 Zobrazit plný text záznamu View this record from Arxiv