TY - JOUR
T1 - Online conflict-free coloring for halfplanes, congruent disks, and axis-parallel rectangles
AU - Chen, Ke
AU - Kaplan, Haim
AU - Sharir, Micha
PY - 2009/3/1
Y1 - 2009/3/1
N2 - We present randomized algorithms for online conflict-free coloring (CF in short) of points in the plane, with respect to halfplanes, congruent disks, and nearly-equal axis-parallel rectangles. In all three cases, the coloring algorithms use O(log n) colors, with high probability. We also present a deterministic algorithm for online CF coloring of points in the plane with respect to nearly-equal axis-parallel rectangles, using O(log 3n) colors. This is the first efficient (i.e, using polylog(n) colors) deterministic online CF coloring algorithm for this problem.
AB - We present randomized algorithms for online conflict-free coloring (CF in short) of points in the plane, with respect to halfplanes, congruent disks, and nearly-equal axis-parallel rectangles. In all three cases, the coloring algorithms use O(log n) colors, with high probability. We also present a deterministic algorithm for online CF coloring of points in the plane with respect to nearly-equal axis-parallel rectangles, using O(log 3n) colors. This is the first efficient (i.e, using polylog(n) colors) deterministic online CF coloring algorithm for this problem.
KW - Coloring
KW - Conflict free coloring
KW - Online algorithms
UR - http://www.scopus.com/inward/record.url?scp=67149090592&partnerID=8YFLogxK
U2 - 10.1145/1497290.1497292
DO - 10.1145/1497290.1497292
M3 - מאמר
AN - SCOPUS:67149090592
VL - 5
JO - ACM Transactions on Algorithms
JF - ACM Transactions on Algorithms
SN - 1549-6325
IS - 2
M1 - 16
ER -