Prague Stringology Conference 2014

Domenico Cantone and Simone Faro

Efficient Online Abelian Pattern Matching in Strings by Simulating Reactive Multi-Automata

Abstract:
The abelian pattern matching problem consists in finding all substrings of a text which are permutations of a given pattern. This problem finds application in many areas and can be solved in linear time by a naïve sliding window approach. In this paper we introduce a new approach to the problem which makes use of a reactive multi-automaton modeled after the pattern, and provides an efficient nonstandard simulation of the automaton based on bit-parallelism.

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