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DM
2002
134views more  DM 2002»
13 years 9 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
DM
1998
62views more  DM 1998»
13 years 9 months ago
Bipartite subgraphs of integer weighted graphs
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
Noga Alon, Eran Halperin
AAIM
2007
Springer
116views Algorithms» more  AAIM 2007»
14 years 4 months ago
Solving Generalized Maximum Dispersion with Linear Programming
The Generalized Maximum Dispersion problem asks for a partition of a given graph into p vertex-disjoint sets, each of them having at most k vertices. The goal is to maximize the to...
Gerold Jäger, Anand Srivastav, Katja Wolf
TCS
2010
13 years 8 months ago
Iterative compression and exact algorithms
Iterative Compression has recently led to a number of breakthroughs in parameterized complexity. Here, we show that the technique can also be useful in the design of exact exponen...
Fedor V. Fomin, Serge Gaspers, Dieter Kratsch, Mat...
SIAMDM
2008
97views more  SIAMDM 2008»
13 years 9 months ago
Large Nearly Regular Induced Subgraphs
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
Noga Alon, Michael Krivelevich, Benny Sudakov