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COMBINATORICS
2004
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13 years 4 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
DM
2006
85views more  DM 2006»
13 years 4 months ago
Transversal numbers of translates of a convex body
Let F be a family of translates of a fixed convex set M in Rn. Let (F) and (F) denote the transversal number and the independence number of F, respectively. We show that (F) (F) 8...
Seog-Jin Kim, Kittikorn Nakprasit, Michael J. Pels...