• Title of article

    Randomized Algorithm For 3-Set Splitting Problem and it's Markovian Model

  • Author/Authors

    Heidari, Mahdi Department of Information Technology - Ghent University-imec, Belgium , Golshani, Ali Department of Algorithms and Computation - University of Tehran , Moazzami, D Faculty of Enginering Science - College of Engineering - University of Tehran , Moeini, Ali Faculty of Enginering Science - College of Engineering - University of Tehran

  • Pages
    14
  • From page
    79
  • To page
    92
  • Abstract
    In this paper we restrict every set splitting problem to the special case in which every set has just three el- ements. This restricted version is also NP-complete. Then, we introduce a general conversion from any set splitting problem to 3-set splitting. Then we introduce a randomize algorithm, and we use Markov chain model for run time complexity analysis of this algorithm. In the last section of this paper we introduce "Fast Split" algorithm.
  • Keywords
    NP-complete problem , set splitting problem , SAT problem , Markov chain
  • Journal title
    Astroparticle Physics
  • Serial Year
    2016
  • Record number

    2469572