Integer Programming and LP Relaxation

  • Jiří Matoušek
  • Bernd Gärtner
Part of the Universitext book series (UTX)


In Section 2.7 we encountered a situation in which among all feasible solutions of a linear program, only those with all components integral are of interest in the practical application. A similar situation occurs quite often in attempts to apply linear programming, because objects that can be split into arbitrary fractions are more an exception than the rule.When hiring workers, scheduling buses, or cutting paper rolls one somehow has to deal with the fact that workers, buses, and paper rolls occur only in integral quantities.


Feasible Solution Bipartite Graph Integer Program Vertex Cover Integral Solution 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Jiří Matoušek
    • 1
  • Bernd Gärtner
    • 2
  1. 1.Department of Applied MathematicsCharles UniversityPraha 1Czech Republic
  2. 2.Institute of Theoretical Computer ScienceETH ZurichZurichSwitzerland

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