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MFCS
2007
Springer
15 years 8 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
RSA
2011
102views more  RSA 2011»
14 years 9 months ago
Dependent random choice
: We describe a simple and yet surprisingly powerful probabilistic technique which shows how to find in a dense graph a large subset of vertices in which all (or almost all) small...
Jacob Fox, Benny Sudakov
FOCS
2002
IEEE
15 years 7 months ago
Global Information from Local Observation
We observe a certain random process on a graph ”locally”, i.e., in the neighborhood of a node, and would like to derive information about ”global” properties of the graph....
Itai Benjamini, László Lovász
FOCS
2003
IEEE
15 years 7 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...
COLOGNETWENTE
2010
15 years 16 days ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik