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» Piercing Translates and Homothets of a Convex Body
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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
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 5 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang