TY - GEN

T1 - Square and rectangle covering with outliers

AU - Ahn, Hee Kap

AU - Bae, Sang Won

AU - Kim, Sang Sub

AU - Korman, Matias

AU - Reinbacher, Iris

AU - Son, Wanbin

PY - 2009

Y1 - 2009

N2 - For a set of n points in the plane, we consider the axis-aligned (p,k)-Box Covering problem: Find p axis-aligned, pairwise disjoint boxes that together contain exactly n-k points. Here, our boxes are either squares or rectangles, and we want to minimize the area of the largest box. For squares, we present algorithms that find the solution in O(n+klogk) time for p=1, and in O(nlogn+k p log p k) time for p=2,3. For rectangles we have running times of O(n+k 3) for p=1 and O(nlogn+k 2+p log p-1 k) time for p=2,3. In all cases, our algorithms use O(n) space.

AB - For a set of n points in the plane, we consider the axis-aligned (p,k)-Box Covering problem: Find p axis-aligned, pairwise disjoint boxes that together contain exactly n-k points. Here, our boxes are either squares or rectangles, and we want to minimize the area of the largest box. For squares, we present algorithms that find the solution in O(n+klogk) time for p=1, and in O(nlogn+k p log p k) time for p=2,3. For rectangles we have running times of O(n+k 3) for p=1 and O(nlogn+k 2+p log p-1 k) time for p=2,3. In all cases, our algorithms use O(n) space.

UR - http://www.scopus.com/inward/record.url?scp=71049150864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71049150864&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-02270-8_15

DO - 10.1007/978-3-642-02270-8_15

M3 - Conference contribution

AN - SCOPUS:71049150864

SN - 3642022693

SN - 9783642022692

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 132

EP - 140

BT - Frontiers in Algorithmics - Third International Workshop, FAW 2009, Proceedings

T2 - 3rd International Frontiers of Algorithmics Workshop, FAW 2009

Y2 - 20 June 2009 through 23 June 2009

ER -