10231 Abstracts Collection -- Structure Discovery in Biology: Motifs, Networks & Phylogenies

From 06.06. to 11.06.2010, the Dagstuhl Seminar 10231 ``Structure Discovery in Biology: Motifs, Networks & Phylogenies \u27\u27 was held in Schloss Dagstuhl~--~Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available

06201 Abstracts Collection -- Combinatorial and Algorithmic Foundations of Pattern and Association Discovery

From 15.05.06 to 20.05.06, the Dagstuhl Seminar 06201 ``Combinatorial and Algorithmic Foundations of Pattern and Association Discovery\u27\u27 was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available

An Optimal O(log log n) Time Parallel Algorithm for Detecting all Squares in a String

An optimal O(log log n) time concurrent-read concurrent-write parallelalgorithm for detecting all squares in a string is presented. A tightlower bound shows that over general alphabets this is the fastest possibleoptimal algorithm. When p processors are available the bounds becomeTheta(n log n / p + log log 2p). The algorithm uses an optimal parallelstring-matching algorithm together with periodicity properties to locatethe squares within the input string