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» Testing Hypergraph Coloring
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FSTTCS
2010
Springer
13 years 5 months ago
Colored Hypergraph Isomorphism is Fixed Parameter Tractable
We describe a fixed parameter tractable (fpt) algorithm for Colored Hypergraph Isomorphism which has running time 2O(b) NO(1) , where the parameter b is the maximum size of the col...
Vikraman Arvind, Bireswar Das, Johannes Köble...
CORR
2010
Springer
74views Education» more  CORR 2010»
13 years 7 months ago
Conflict-Free Coloring and its Applications
Let H = (V, E) be a hypergraph. A conflict-free coloring of H is an assignment of colors to V such that in each hyperedge e E there is at least one uniquely-colored vertex. This ...
Shakhar Smorodinsky
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
13 years 7 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
DAM
2008
59views more  DAM 2008»
13 years 7 months ago
Vertex coloring acyclic digraphs and their corresponding hypergraphs
We consider vertex coloring of an acyclic digraph G in such a way that two vertices which have a common ancestor in G receive distinct colors. Such colorings arise in a natural wa...
Geir Agnarsson, Ágúst S. Egilsson, M...
CAP
2010
13 years 2 months ago
Parallel computation of the minimal elements of a poset
Computing the minimal elements of a partially ordered finite set (poset) is a fundamental problem in combinatorics with numerous applications such as polynomial expression optimiz...
Charles E. Leiserson, Marc Moreno Maza, Liyun Li, ...