Mutual Borders and Overlaps
نویسندگان
چکیده
A word is said to be bordered if it contains a non-empty proper prefix that also suffix. We can naturally extend this definition pairs of words. pair words $(u,v)$ xmlns:xlink="http://www.w3.org/1999/xlink">mutually bordered there exists notation="LaTeX">$u$ and suffix notation="LaTeX">$v$ , . In other words, mutually bordered overlaps give recurrence for the number Furthermore, we show that, asymptotically, are notation="LaTeX">$c\cdot k^{2n}$ length- notation="LaTeX">$n$ over notation="LaTeX">$k$ -letter alphabet, where notation="LaTeX">$c$ constant. Finally, expected shortest overlap between bounded above by
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2022
ISSN: ['0018-9448', '1557-9654']
DOI: https://doi.org/10.1109/tit.2022.3167935