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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 4 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 4 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
INFOCOM
2009
IEEE
14 years 6 months ago
Robust Counting Via Counter Braids: An Error-Resilient Network Measurement Architecture
—A novel counter architecture, called Counter Braids, has recently been proposed for accurate per-flow measurement on high-speed links. Inspired by sparse random graph codes, Co...
Yi Lu, Balaji Prabhakar