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» Factoring cardinal product graphs in polynomial time
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STOC
2010
ACM
211views Algorithms» more  STOC 2010»
14 years 5 months ago
Maintaining a Large Matching or a Small Vertex Cover
We consider the problem of maintaining a large matching or a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge ins...
Krzysztof Onak and Ronitt Rubinfeld
FOCS
2004
IEEE
14 years 4 days ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 1 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
SIAMDM
2000
159views more  SIAMDM 2000»
13 years 8 months ago
Approximating Fractional Multicommodity Flow Independent of the Number of Commodities
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
Lisa Fleischer
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 1 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour