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1996 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '96)
Optimal overlap representations
Beijing, CHINA
June 12-June 14
ISBN: 0-8186-7460-1
Lin Chen, FRL, Los Angeles, CA, USA
In this paper, we investigate the problem of computing minimal interval and circular arc overlap representations, and give several optimal algorithms. We show that, among other things, given an s/spl times/t interval or circular arc overlap representation matrix: a minimal interval overlap representation can be obtained with O(log(st)) time with O(st/log(st)) EREW PRAM processors, or in O(log t/log log t) time with O(st log log t/log t) common CRCW PRAM processors, or in O(1) time with O(st) BSR processors; a minimal circular arc overlap representation can be obtained in O(st) time.
Index Terms:
computational complexity; computational geometry; parallel algorithms; optimal overlap representations; minimal interval; circular arc overlap representations; optimal algorithms; minimal interval overlap representation; EREW PRAM processors; common CRCW PRAM; BSR processors
Citation:
Lin Chen, "Optimal overlap representations," ispan, pp.8, 1996 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '96), 1996
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