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» Choosability in geometric hypergraphs
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CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 3 months ago
Choosability in geometric hypergraphs
Given a hypergraph H = (V, E), a coloring of its vertices is said to be conflict-free if for every hyperedge S ∈ E there is at least one vertex in S whose color is distinct fro...
Panagiotis Cheilaris, Shakhar Smorodinsky
SIAMDM
2008
123views more  SIAMDM 2008»
13 years 4 months ago
Adapted List Coloring of Graphs and Hypergraphs
We introduce and study adapted list coloring of graphs and hypergraphs. This is a generalization of ordinary list coloring and adapted coloring, and has more applications than thes...
Alexandr V. Kostochka, Xuding Zhu
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
13 years 4 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
DM
2010
89views more  DM 2010»
13 years 4 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
ESA
2009
Springer
115views Algorithms» more  ESA 2009»
13 years 11 months ago
Output-Sensitive Algorithms for Enumerating Minimal Transversals for Some Geometric Hypergraphs
We give a general framework for the problem of finding all minimal hitting sets of a family of objects in Rd by another. We apply this framework to the following problems: (i) hit...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf