Avoiding Patterns in the Abelian Sense-Reference-Cited by-同舟云学术

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Avoiding Patterns in the Abelian Sense

Published:2001-08-01 Issue:4 Volume:53 Page:696-714
ISSN:0008-414X
Container-title:Canadian Journal of Mathematics
language:en
Short-container-title:Can. j. math.

Author:

Currie J.,Linek V.

Abstract

AbstractWe classify all 3 letter patterns that are avoidable in the abelian sense. A short list of four letter patterns for which abelian avoidance is undecided is given. Using a generalization of Zimin words we deduce some properties of ω-words avoiding these patterns.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Abelian combinatorics on words: A survey;Computer Science Review;2023-02

2. The undirected repetition threshold and undirected pattern avoidance;Theoretical Computer Science;2021-04

3. Avoidability of Palindrome Patterns;The Electronic Journal of Combinatorics;2021-01-15

4. On Long Words Avoiding Zimin Patterns;Theory of Computing Systems;2019-03-14

5. The Undirected Repetition Threshold;Lecture Notes in Computer Science;2019

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