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DM
1998
81views more  DM 1998»
13 years 6 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
WAOA
2010
Springer
209views Algorithms» more  WAOA 2010»
13 years 4 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»
13 years 1 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»
13 years 6 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»
13 years 11 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...