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» On the b-Independence Number of Sparse Random Graphs
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STACS
2004
Springer
13 years 10 months ago
Matching Algorithms Are Fast in Sparse Random Graphs
We present an improved average case analysis of the maximum cardinality matching problem. We show that in a bipartite or general random graph on n vertices, with high probability ...
Holger Bast, Kurt Mehlhorn, Guido Schäfer, Hi...
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 8 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 7 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
13 years 10 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...
ICCTA
2007
IEEE
13 years 8 months ago
What Graphs can be Efficiently Represented by BDDs?
We have carried out experimental research into implicit representation of large graphs using reduced ordered binary decision diagrams (OBDDs). We experimentally show that for grap...
Changxing Dong, Paul Molitor