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
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