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» On intersecting hypergraphs
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DM
1998
81views more  DM 1998»
15 years 4 months ago
On intersecting hypergraphs
We investigate the following question: “Given an intersecting multi-hypergraph on n points, what fraction of edges must be covered by any of the best 2 points?” (Here “best...
Barry Guiduli, Zoltán Király
173
Voted
WAOA
2010
Springer
209views Algorithms» more  WAOA 2010»
15 years 2 months ago
Densest k-Subgraph Approximation on Intersection Graphs
We study approximation solutions for the densest k-subgraph problem (DS-k) on several classes of intersection graphs. We adopt the concept of -quasi elimination orders, introduced ...
Danny Z. Chen, Rudolf Fleischer, Jian Li
JCT
2011
101views more  JCT 2011»
14 years 12 months ago
Almost all triple systems with independent neighborhoods are semi-bipartite
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
József Balogh, Dhruv Mubayi
DM
2002
134views more  DM 2002»
15 years 4 months ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 10 months ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...