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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 5 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
STOC
1996
ACM
115views Algorithms» more  STOC 1996»
13 years 9 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
EJC
2011
12 years 8 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
CANDC
2005
ACM
13 years 4 months ago
Integer linear programming as a tool for constructing trees from quartet data
The task of the quartet puzzling problem is to find a best-fitting binary X-tree for a finite n-set from confidence values for the 3 n 4 binary trees with exactly four leaves from...
Jan Weyer-Menkhoff, Claudine Devauchelle, Alexande...
CORR
2010
Springer
152views Education» more  CORR 2010»
12 years 11 months ago
Combinatorial Network Optimization with Unknown Variables: Multi-Armed Bandits with Linear Rewards
In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of int...
Yi Gai, Bhaskar Krishnamachari, Rahul Jain