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» GCD of Many Integers
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DM
1998
62views more  DM 1998»
13 years 7 months ago
Bipartite subgraphs of integer weighted graphs
For every integer p > 0 let f(p) be the minimum possible value of the maximum weight of a cut in an integer weighted graph with total weight p. It is shown that for every large...
Noga Alon, Eran Halperin
JAIR
2008
136views more  JAIR 2008»
13 years 7 months ago
Global Inference for Sentence Compression: An Integer Linear Programming Approach
Sentence compression holds promise for many applications ranging from summarization to subtitle generation. Our work views sentence compression as an optimization problem and uses...
James Clarke, Mirella Lapata
ENDM
2010
115views more  ENDM 2010»
13 years 4 months ago
On the knapsack closure of 0-1 Integer Linear Programs
Many inequalities for Mixed-Integer Linear Programs (MILPs) or pure Integer Linear Programs (ILPs) are derived from the Gomory corner relaxation, where all the nonbinding constrai...
Matteo Fischetti, Andrea Lodi
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 7 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
CPAIOR
2007
Springer
14 years 1 months ago
Modeling the Regular Constraint with Integer Programming
Many optimisation problems contain substructures involving constraints on sequences of decision variables. Such constraints can be very complex to express with mixed integer progra...
Marie-Claude Côté, Bernard Gendron, L...