Abstract
We present new optimal systolic algorithms for the transitive closure problem on ring and linear array of processors. The data dependency of the Warshal-Floyd algorithm is exploited to obtain highly pipelined parallel algorithms. One of the algorithms is asymptotically seven times cost-effective than the existing algorithms for computing transitive closure problems. We introduce a new expository device, called the RCT diagram, that depicts simultaneous flow of data and computation for parallel algorithms.
Original language | English (US) |
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Pages (from-to) | 508-512 |
Number of pages | 5 |
Journal | IEEE Transactions on Computers |
Volume | 41 |
Issue number | 4 |
DOIs | |
State | Published - Apr 1992 |
Keywords
- Data dependency
- RCT diagram
- VLSI
- WSI
- linear arrays
- parallel algorithms
- parallel machines
- systolic arrays
- transitive closure problem
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Hardware and Architecture
- Computational Theory and Mathematics