Title
Tight bounds and 2-approximation algorithms for integer programs with two variables per inequality
Abstract
. The problem of integer programming in bounded variables, overconstraints with no more than two variables in each constraint is NP-complete, evenwhen all variables are binary. This paper deals with integer linear minimizationproblems in n variables subject to m linear constraints with at most two variablesper inequality, and with all variables bounded between 0 and U . For such systems,a 2\Gammaapproximation algorithm is presented that runs in time O(mnU2log(Un2=m)),so it...
Year
DOI
Venue
1993
10.1007/BF01585160
Math. Program.
Keywords
Field
DocType
tight bound,integer program,2-approximation algorithm
Discrete mathematics,Approximation algorithm,Integer square root,Mathematical optimization,Combinatorics,Branch and price,Integer programming,Vertex cover,Time complexity,Optimization problem,Mathematics,Special ordered set
Journal
Volume
Issue
ISSN
62
1
1436-4646
Citations 
PageRank 
References 
57
4.08
12
Authors
4
Name
Order
Citations
PageRank
Dorit S. Hochbaum14411553.92
Nimrod Megiddo24244668.46
Joseph (Seffi) Naor34173365.63
Arie Tamir41201137.91