OPTIMALLY FAST CRCW-PRAM TESTING 2D-ARRAYS FOR EXISTENCE OF REPETITIVE PATTERNS

Author:

BRIMKOV VALENTIN E.1

Affiliation:

1. Department of Mathematics, Eastern Mediterranean University, Famagusta, Via Mersin 10, Turkey

Abstract

In classical combinatorial string matching repetitions and other regularities play a central role. Besides their theoretical importance, repetitions in strings have been found relevant to coding and automata theory, formal languages, data compression, and molecular biology. An important motivation for developing a 2D pattern matching theory is seen in its relation with pattern recognition, image processing, computer vision and multimedia. Repetitions in 2D arrays have been defined and classified recently.5 In this paper we present an optimally fast CRCW-PRAM algorithm for testing whether a given n × n array contains repetitions of certain type. The algorithm takes optimal O( log log n) time with [Formula: see text] processors.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Software

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Parallel Algorithms for Combinatorial Pattern Matching;Lecture Notes in Computer Science;2014

2. Optimal discovery of repetitions in 2D;Discrete Applied Mathematics;2005-10

3. Optimal Parallel Searching an Array for Certain Repetitions;Electronic Notes in Discrete Mathematics;2003-03

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