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arXiv · 1102.1746

Algorithms for Jumbled Pattern Matching in Strings

Péter Burcsi·Ferdinando Cicalese·Gabriele Fici·Zsuzsanna Lipták
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Abstract

The Parikh vector p(s) of a string s is defined as the vector of multiplicities of the characters. Parikh vector q occurs in s if s has a substring t with p(t)=q. We present two novel algorithms for searching for a query q in a text s. One solves the decision problem over a binary text in constant time, using a linear size index of the text. The second algorithm, for a general finite alphabet, finds all occurrences of a given Parikh vector q and has sub-linear expected time complexity; we present two variants, which both use a linear size index of the text.

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Péter Burcsi, Ferdinando Cicalese, Gabriele Fici, Zsuzsanna Lipták. 2011-02-08. Algorithms for Jumbled Pattern Matching in Strings. https://doi.org/10.1142/s0129054112400175

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