TY - JOUR
T1 - On disjoint concave chains in arrangements of (pseudo) lines
AU - Halperin, Dan
AU - Sharir, Micha
PY - 1994/7/12
Y1 - 1994/7/12
N2 - In the paper mentioned in the title [1] we have asserted that the maximum number of edges of m pairwise-disjoint x-monotone concave polygonal chains, contained in the union of n lines or pseudo lines, is Θ(m2/3n2/3+n). While the assertion is correct, the analysis of [1] was incomplete, and hence erroneous. In this note we complete the analysis and thus obtain a correct proof of the assertion.
AB - In the paper mentioned in the title [1] we have asserted that the maximum number of edges of m pairwise-disjoint x-monotone concave polygonal chains, contained in the union of n lines or pseudo lines, is Θ(m2/3n2/3+n). While the assertion is correct, the analysis of [1] was incomplete, and hence erroneous. In this note we complete the analysis and thus obtain a correct proof of the assertion.
KW - Arrangements
KW - Computational geometry
KW - Polygonal chains
UR - http://www.scopus.com/inward/record.url?scp=0028465640&partnerID=8YFLogxK
U2 - 10.1016/0020-0190(94)00057-3
DO - 10.1016/0020-0190(94)00057-3
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AN - SCOPUS:0028465640
SN - 0020-0190
VL - 51
SP - 53
EP - 56
JO - Information Processing Letters
JF - Information Processing Letters
IS - 1
ER -