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» Covering point sets with two disjoint disks or squares
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JCO
2006
128views more  JCO 2006»
13 years 6 months ago
A combinatorial theorem on labeling squares with points and its application
In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squar...
Binhai Zhu, Minghui Jiang
CCCG
2008
13 years 7 months ago
Maximal Covering by Two Isothetic Unit Squares
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
SODA
1997
ACM
115views Algorithms» more  SODA 1997»
13 years 7 months ago
Faster Construction of Planar Two-Centers
Improving on a recent breakthrough of Sharir, we find two minimum-radius circular disks covering a planar point set, in randomized expected time O(n log2 n).
David Eppstein
WADS
2007
Springer
156views Algorithms» more  WADS 2007»
14 years 13 days ago
Cuttings for Disks and Axis-Aligned Rectangles
We present new asymptotically tight bounds on cuttings, a fundamental data structure in computational geometry. For n objects in space and a parameter r ∈ N, an 1 r -cutting is ...
Eynat Rafalin, Diane L. Souvaine, Csaba D. T&oacut...
APAL
2004
132views more  APAL 2004»
13 years 6 months ago
Canonical structure in the universe of set theory: part one
Abstract. We start by studying the relationship between two invariants isolated by Shelah, the sets of good and approachable points. As part of our study of these invariants, we pr...
James Cummings, Matthew Foreman, Menachem Magidor