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2004
ACM
134views Algorithms» more  STOC 2004»
16 years 3 months ago
Approximate max-integral-flow/min-multicut theorems
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
Kenji Obata
FOCS
2004
IEEE
15 years 6 months 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
AAAI
2000
15 years 4 months ago
Depth-First Branch-and-Bound versus Local Search: A Case Study
Depth-first branch-and-bound (DFBnB) is a complete algorithm that is typically used to find optimal solutions of difficult combinatorial optimization problems. It can also be adap...
Weixiong Zhang
ADHOCNOW
2008
Springer
15 years 9 months ago
Approximating Minimum-Power k-Connectivity
Abstract. The Minimum-Power k-Connected Subgraph (MPkCS) problem seeks a power (range) assignment to the nodes of a given wireless network such that the resulting communication (su...
Zeev Nutov
JCT
2006
100views more  JCT 2006»
15 years 3 months ago
Approximating clique-width and branch-width
We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph "clique-wi...
Sang-il Oum, Paul D. Seymour