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# Solving integer programs over monotone inequalities in three variables: A framework for half integrality and good approximations

@article{Hochbaum2002SolvingIP, title={Solving integer programs over monotone inequalities in three variables: A framework for half integrality and good approximations}, author={Dorit S. Hochbaum}, journal={European Journal of Operational Research}, year={2002}, volume={140}, pages={291-321} }

- Published 2002 in European Journal of Operational Research
DOI:10.1016/S0377-2217(02)00071-1

We define a class of monotone integer programs with constraints that involve up to three variables each. A generic constraint in such integer program is of the form ax by6 zþ c, where a and b are nonnegative and the variable z appears only in that constraint. We devise an algorithm solving such problems in time polynomial in the length of the input and the range of variables U. The solution is obtained from a minimum cut on a graph with OðnUÞ nodes and OðmUÞ arcs where n is the number of… CONTINUE READING