Bubble-Flip-A New Generation Algorithm for Prefix Normal Words

被引：1

作者：

Cicalese, Ferdinando ^{[1
]}

Liptak, Zsuzsanna ^{[1
]}

Rossi, Massimiliano ^{[1
]}

机构：

[1] Univ Verona, Dipartimento Informat, Str Grazie 15, I-37134 Verona, Italy

来源：

LANGUAGE AND AUTOMATA THEORY AND APPLICATIONS (LATA 2018) | 2018年 / 10792卷

关键词：

Algorithms on automata and words; Combinatorics on words; Combinatorial generation; Prefix normal words; Infinite words; Binary languages; BINARY STRINGS;

D O I：

10.1007/978-3-319-77313-1_16

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We present a new recursive generation algorithm for prefix normal words. These are binary words with the property that no factor has more is than the prefix of the same length. The new algorithm uses two operations on binary words, which exploit certain properties of prefix normal words in a smart way. We introduce infinite prefix normal words and show that one of the operations used by the algorithm, if applied repeatedly to extend the word, produces an ultimately periodic infinite word, which is prefix normal and whose period's length and density we can predict from the original word.

引用

页码：207 / 219

页数：13

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