Optimization pp 227-243 | Cite as

Estimating the size of correcting codes using extremal graph problems

  • Sergiy ButenkoEmail author
  • Panos Pardalos
  • Ivan Sergienko
  • Vladimir Shylo
  • Petro Stetsyuk
Part of the Springer Optimization and Its Applications book series (SOIA, volume 32)


Some of the fundamental problems in coding theory can be formulated as extremal graph problems. Finding estimates of the size of correcting codes is important from both theoretical and practical perspectives. We solve the problem of finding the largest correcting codes using previously developed algorithms for optimization problems in graphs. We report new exact solutions and estimates.


Maximum independent set graph coloring error-correcting codes coding theory combinatorial optimization 


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We would like to thank two anonymous referees for their valuable comments.


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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  • Sergiy Butenko
    • 1
    Email author
  • Panos Pardalos
    • 1
  • Ivan Sergienko
    • 2
  • Vladimir Shylo
    • 2
  • Petro Stetsyuk
    • 2
  1. 1.University of FloridaGainesvilleUSA
  2. 2.Institute of CyberneticsNAS of UkraineKievUkraine

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