In this paper we present algorithms for several string problems in the Congested Clique model. In the Congested Clique model, n nodes (computers) are used to solve some problem. The input to the problem is distributed among the nodes, and the communication between the nodes is conducted in rounds. In each round, every node is allowed to send an O(log n)-bit message to every other node in the network. We consider three fundamental string problems in the Congested Clique model. First, we present an O(1) rounds algorithm for string sorting that supports strings of arbitrary length. Second, we present an O(1) rounds combinatorial pattern matching algorithm. Finally, we present an O(log log n) rounds algorithm for the computation of the suffix array and the corresponding Longest Common Prefix array of a given string.
@InProceedings{golan_et_al:LIPIcs.CPM.2025.6, author = {Golan, Shay and Kraus, Matan}, title = {{String Problems in the Congested Clique Model}}, booktitle = {36th Annual Symposium on Combinatorial Pattern Matching (CPM 2025)}, pages = {6:1--6:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-369-0}, ISSN = {1868-8969}, year = {2025}, volume = {331}, editor = {Bonizzoni, Paola and M\"{a}kinen, Veli}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2025.6}, URN = {urn:nbn:de:0030-drops-231003}, doi = {10.4230/LIPIcs.CPM.2025.6}, annote = {Keywords: String Sorting, Pattern Matching, Suffix Array, Congested Clique, Sorting} }
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