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Abstract: Graph theoretic techniques are used in variety of important computational problems in the areas of computational physics, mechanics, and fluid flow. We present a new, parallel algorithm for detecting cycles in partitioned, directed graphs that is both scalable in the graph and machine size, and performs well in practice. As an example, on a p = 64 processor cluster, we have solved an extremely large and difficult input problem with n = 2^28 vertices in less than five minutes. Our parallel... (Update)
Context of citations to this paper: More
.... was developed requiring O(log 3 n) time and n=log n processors [11] Another parallel algorithm for planar graphs is due to David Bader [8], but our applications are non planar. In this paper we will describe a recently proposed parallel algorithm due to Fleischer, et al. 2]...
.... O(log 3 n) time and n= log n processors [12] More recently, Bader has an efficient parallel implementation of SCC for planar graphs [3] which uses a clever packed interval representation of the boundary of a planar graph. When n is much larger than p the number of...
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BibTeX entry: (Update)
D. A. Bader, A practical parallel algorithm for cycle detection in partitioned digraphs, Tech. Rep. Technical Report AHPCC-TR-99-013, Electrical & Computer Eng. Dept., Univ. New Mexico, Albuquerque, NM, 1999. http://citeseer.ist.psu.edu/bader99practical.html More
@techreport{ bader99practical,
author = "D. Bader",
title = "A practical parallel algorithm for cycle detection in partitioned digraphs",
number = "AHPCC-TR-99-013",
institution = "Electrical \& Computer Eng. Dept., Univ. New Mexico, Albuquerque, NM",
year = "1999",
url = "citeseer.ist.psu.edu/bader99practical.html" }
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