Number of holes in unavoidable sets of partial words I

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• 作者：F. Blanchet-Sadri^a ; ^{blanchet@uncg.edu} ; Bob Chen^b ; Aleksandar Chakarov^c
• 关键词：Automata and formal languages ; Combinatorics on words ; Partial words ; Unavoidable sets
• 刊名：Journal of Discrete Algorithms
• 出版年：2012
• 出版时间：July, 2012
• 年：2012
• 卷：14
• 期：Complete
• 页码：55-64
• 全文大小：218 K

文摘

Partial words are sequences over a finite alphabet that may contain some undefined positions called holes. We consider unavoidable sets of partial words of equal length. We compute the minimum number of holes in sets of size three over a binary alphabet (summed over all partial words in the sets). We also construct all sets that achieve this minimum. This is a step towards the difficult problem of fully characterizing all unavoidable sets of partial words of size three.