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» Coloring axis-parallel rectangles
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JCT
2010
102views more  JCT 2010»
13 years 3 months ago
Coloring axis-parallel rectangles
For every k and r, we construct a finite family of axis-parallel rectangles in the plane such that no matter how we color them with k colors, there exists a point covered by prec...
János Pach, Gábor Tardos
CG
2006
Springer
13 years 5 months ago
Supercover model, digital straight line recognition and curve reconstruction on the irregular isothetic grids
On the classical discrete grid, the analysis of digital straight lines (DSL for short) has been intensively studied for nearly half a century. In this article, we are interested i...
David Coeurjolly, Loutfi Zerarga
ESA
2001
Springer
104views Algorithms» more  ESA 2001»
13 years 9 months ago
Smallest Color-Spanning Objects
Motivated by questions in location planning, we show for a set of colored point sites in the plane how to compute the smallest— by perimeter or area—axis-parallel rectangle and...
Manuel Abellanas, Ferran Hurtado, Christian Icking...
ISAAC
2005
Springer
86views Algorithms» more  ISAAC 2005»
13 years 10 months ago
On the Computation of Colored Domino Tilings of Simple and Non-simple Orthogonal Polygons
We explore the complexity of computing tilings of orthogonal polygons using colored dominoes. A colored domino is a rotatable 2 × 1 rectangle that is partitioned into two unit squ...
Chris Worman, Boting Yang
DM
2010
83views more  DM 2010»
13 years 5 months ago
Polychromatic colorings of arbitrary rectangular partitions
A general (rectangular) partition is a partition of a rectangle into an arbitrary number of non-overlapping subrectangles. This paper examines vertex colorings using four colors o...
Dániel Gerbner, Balázs Keszegh, Nath...