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» Choosability in geometric hypergraphs
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CORR
2010
Springer
144views Education» more  CORR 2010»
14 years 9 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»
14 years 10 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»
14 years 10 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»
14 years 10 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»
15 years 5 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