The probabilistic method yields deterministic parallel algorithms

• Published in: Journal of computer and system sciences Vol. 49; no. 3; pp. 478 - 516
• Main Authors: Motwani, Rajeev, (Seffi) Naor, Joseph, Naor, Moni
• Format: Journal Article
• Language: English
• Published: Brugge Elsevier Inc 01.12.1994; Academic Press
• Subjects: Algorithmics. Computability. Computer arithmetics; Applied sciences; Artificial intelligence; Computer science; control theory; systems; Exact sciences and technology; Pattern recognition. Digital image processing. Computational geometry; Software; Software engineering; Theoretical computing; Computational geometry; Parallel algorithm; Probabilistic approach; Sequential; Graph colouring; Deterministic approach; Parallelization; Polynomial time

We present a technique for converting RNC algorithms into NC algorithms. Our approach is based on a parallel implementation of the method of conditional probabilities. This method was used to convert probabilistic proofs of existence of combinatorial structures into polynomial time deterministic alg...