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Small Longest Tandem Scattered Subsequences
arXiv - CS - Data Structures and Algorithms Pub Date : 2020-06-24 , DOI: arxiv-2006.14029 Lu\'is M. S. Russo, Alexandre P. Francisco
arXiv - CS - Data Structures and Algorithms Pub Date : 2020-06-24 , DOI: arxiv-2006.14029 Lu\'is M. S. Russo, Alexandre P. Francisco
We consider the problem of identifying tandem scattered subsequences within a
string. Our algorithm identifies a longest subsequence which occurs twice
without overlap in a string. This algorithm is based on the Hunt-Szymanski
algorithm, therefore its performance improves if the string is not self
similar. This occurs naturally on strings over large alphabets. Our algorithm
relies on new results for data structures that support dynamic longest
increasing sub-sequences. In the process we also obtain improved algorithms for
the decremental string comparison problem.
中文翻译:
最小的最长串联分散子序列
我们考虑识别串内串联分散子序列的问题。我们的算法识别出一个最长的子序列,它在一个字符串中出现两次而没有重叠。该算法基于 Hunt-Szymanski 算法,因此如果字符串不是自相似的,则其性能会提高。这自然发生在大字母表上的字符串上。我们的算法依赖于支持动态最长递增子序列的数据结构的新结果。在此过程中,我们还获得了递减字符串比较问题的改进算法。
更新日期:2020-06-26
中文翻译:
最小的最长串联分散子序列
我们考虑识别串内串联分散子序列的问题。我们的算法识别出一个最长的子序列,它在一个字符串中出现两次而没有重叠。该算法基于 Hunt-Szymanski 算法,因此如果字符串不是自相似的,则其性能会提高。这自然发生在大字母表上的字符串上。我们的算法依赖于支持动态最长递增子序列的数据结构的新结果。在此过程中,我们还获得了递减字符串比较问题的改进算法。