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» Note on Sparse Random Graphs and Cover Graphs
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STACS
2004
Springer
14 years 1 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...
MFCS
2005
Springer
14 years 1 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 11 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
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
13 years 11 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
ALGORITHMICA
2010
188views more  ALGORITHMICA 2010»
13 years 8 months ago
The 1-Fixed-Endpoint Path Cover Problem is Polynomial on Interval Graphs
Abstract We consider a variant of the path cover problem, namely, the k-fixedendpoint path cover problem, or kPC for short, on interval graphs. Given a graph G and a subset T of k ...
Katerina Asdre, Stavros D. Nikolopoulos