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SODA
1997
ACM
93views Algorithms» more  SODA 1997»
13 years 9 months ago
Fast Approximate Graph Partitioning Algorithms
We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
MOR
2008
169views more  MOR 2008»
13 years 7 months ago
The Flow Set with Partial Order
The flow set with partial order is a mixed-integer set described by a budget on total flow and a partial order on the arcs that may carry positive flow. This set is a common substr...
Alper Atamtürk, Muhong Zhang
FOCS
2008
IEEE
13 years 7 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
FOCS
2009
IEEE
14 years 2 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
STACS
2010
Springer
14 years 2 months ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...