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COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 4 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
13 years 5 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski
CCCG
2010
13 years 6 months ago
Regular labelings and geometric structures
Three types of geometric structure--grid triangulations, rectangular subdivisions, and orthogonal polyhedra-can each be described combinatorially by a regular labeling: an assignm...
David Eppstein
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
CIAC
2010
Springer
262views Algorithms» more  CIAC 2010»
13 years 8 months ago
Graph unique-maximum and conflict-free colorings
We investigate the relationship between two kinds of vertex colorings of graphs: uniquemaximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors are ...
Panagiotis Cheilaris and Géza Tóth