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» On the Number of Halving Planes
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JUCS
2002
92views more  JUCS 2002»
14 years 11 months ago
Tiling the Hyperbolic Plane with a Single Pentagonal Tile
: In this paper, we study the number of tilings of the hyperbolic plane that can be constructed, starting from a single pentagonal tile, the only permitted transformations on the b...
Maurice Margenstern
JGT
2010
89views more  JGT 2010»
14 years 10 months ago
Non-rainbow colorings of 3-, 4- and 5-connected plane graphs
We study vertex-colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If G is a 3-connected plane graph with n vert...
Zdenek Dvorak, Daniel Král', Riste Skrekovs...
COMGEO
2011
ACM
14 years 6 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
CCCG
2008
15 years 1 months ago
Minimum blocking sets of circles for a set of lines in the plane
A circle C is occluded by a set of circles C1, . . . , Cn if every line that intersects C also intersects at least one of the Ci, i = 1, . . . , n. In this paper, we focus on dete...
Natasa Jovanovic, Jan H. M. Korst, Augustus J. E. ...
SIAMDM
2000
103views more  SIAMDM 2000»
14 years 11 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman