ON DISJOINT CONCAVE CHAINS IN ARRANGEMENTS OF (PSEUDO) LINES (VOL 40,PG 189, 1991)

Citation
D. Halperin et M. Sharir, ON DISJOINT CONCAVE CHAINS IN ARRANGEMENTS OF (PSEUDO) LINES (VOL 40,PG 189, 1991), Information processing letters, 51(1), 1994, pp. 53-56
Citations number
4
Categorie Soggetti
Information Science & Library Science","Computer Science Information Systems
ISSN journal
00200190
Volume
51
Issue
1
Year of publication
1994
Pages
53 - 56
Database
ISI
SICI code
0020-0190(1994)51:1<53:ODCCIA>2.0.ZU;2-#
Abstract
In the paper mentioned in the title [1] we have asserted that the maxi mum number of edges of m pairwise-disjoint x-monotone concave polygona l chains, contained in the union of n lines or pseudo lines, is THETA( m2/3n2/3+n). While the assertion is correct, the analysis of [1] was i ncomplete, and hence erroneous. In this note we complete the analysis and thus obtain a correct proof of the assertion.