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COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 10 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
80
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SIAMCOMP
2000
109views more  SIAMCOMP 2000»
14 years 10 months ago
Dual-Bounded Generating Problems: Partial and Multiple Transversals of a Hypergraph
Abstract. We consider two natural generalizations of the notion of transversal to a finite hypergraph, arising in data-mining and machine learning, the so called multiple and parti...
Endre Boros, Vladimir Gurvich, Leonid Khachiyan, K...
84
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COMBINATORICA
2007
81views more  COMBINATORICA 2007»
14 years 10 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 16 days ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
GC
2002
Springer
14 years 10 months ago
An Extremal Problem on Degree Sequences of Graphs
Let G
Nathan Linial, Eyal Rozenman