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# Finding Common Motifs with Gaps Using Finite Automata

• Pavlos Antoniou
• Jan Holub
• Costas S. Iliopoulos
• Bořivoj Melichar
• Pierre Peterlongo
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4094)

## Abstract

We present an algorithm that uses finite automata to find the common motifs with gaps occurring in all strings belonging to a finite set S = {S 1,S 2,...,S r }. In order to find these common motifs we must first identify the factors that exist in each string. Therefore the algorithm begins by constructing a factor automaton for each string S i . To find the common factors of all the strings, the algorithm needs to gather all the factors from the strings together in one data structure and this is achieved by computing an automaton that accepts the union of the above-mentioned automata. Using this automaton we are able to create a new factor alphabet. Based on this factor alphabet a finite automaton is created for each string S i that accepts sequences of all non overlapping factors residing in each string. The intersection of the latter automata produces the finite automaton which accepts all the common subsequences with gaps over the factor alphabet that are present in all the strings of the set S = {S 1,S 2,...,S r }. These common subsequences are the common motifs of the strings.

## Keywords

Space Complexity Finite Automaton String Match Transition Diagram Common Motif
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer-Verlag Berlin Heidelberg 2006

## Authors and Affiliations

• Pavlos Antoniou
• 1
• Jan Holub
• 2
• Costas S. Iliopoulos
• 1
• Bořivoj Melichar
• 2
• Pierre Peterlongo
• 3
1. 1.Dept. of Computer ScienceKing’s College LondonEnglandUK
2. 2.Department of Computer Science and EngineeringCzech Technical University in PraguePrague 2Czech Republic
3. 3.Institut Gaspard-MongeUniversité de Marne-la-ValléeMarne-la-ValléeFrance