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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
13 years 11 months ago
Piercing Translates and Homothets of a Convex Body
According to a classical result of Gr¨unbaum, the transversal number τ(F) of any family F of pairwise-intersecting translates or homothets of a convex body C in Rd is bounded by...
Adrian Dumitrescu, Minghui Jiang
COMPGEOM
1992
ACM
13 years 8 months ago
Piercing Convex Sets
A family of sets has the (p, q) property if among any p members of the family some q have a nonempty intersection. It is shown that for every p q d + 1 there is a c = c(p, q, d)...
Noga Alon, Daniel J. Kleitman
WADS
1997
Springer
108views Algorithms» more  WADS 1997»
13 years 8 months ago
Dynamic Data Structures for Fat Objects and Their Applications
We present several efficient dynamic data structures for point-enclosure queries, involving convex fat objects in R2 or R3. Our planar structures are actually fitted for a more ...
Alon Efrat, Matthew J. Katz, Frank Nielsen, Micha ...
RSA
2011
85views more  RSA 2011»
12 years 11 months ago
Piercing random boxes
Abstract. Consider a set of n random axis parallel boxes in the unit hypercube in Rd , where d is fixed and n tends to infinity. We show that the minimum number of points one nee...
Linh V. Tran
AMSTERDAM
2009
13 years 2 months ago
Natural Color Categories Are Convex Sets
The paper presents a statistical evaluation of the typological data about color naming systems across the languages of the world that have been obtained by the World Color Survey....
Gerhard Jäger