Abstract
We study the non-overlapping indexing problem: Given a text T, preprocess it in order to answer queries of the form: given a pattern P, report the maximal set of non-overlapping occurrences of P in T. A generalization of this problem is the range non-overlapping indexing where in addition we are given two indexes i,j to report the maximal set of non-overlapping occurrences between these two indexes. We suggest new solutions for these problems. For the non-overlapping problem our solution uses O(n) space with query time of O(m + occ NO ). For the range non-overlapping problem we propose a solution with O(nlogε n) space for some 0 < ε< 1 and O(m + loglogn + occ ij,NO ) query time.
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Cohen, H., Porat, E. (2009). Range Non-overlapping Indexing. In: Dong, Y., Du, DZ., Ibarra, O. (eds) Algorithms and Computation. ISAAC 2009. Lecture Notes in Computer Science, vol 5878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10631-6_105
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DOI: https://doi.org/10.1007/978-3-642-10631-6_105
Publisher Name: Springer, Berlin, Heidelberg
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