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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 2 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 11 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 11 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»
13 years 2 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 5 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