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APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 26 days 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 26 days 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 2 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