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``Easy” and ``Difficult” Problems

  • Paolo Ferragina,
  • Fabrizio Luccio

摘要

We discuss the classes of polynomial and exponential time algorithms starting from the problems of finding an Eulerian cycle and a Hamiltonian cycle in a graph. This leads to the famous P versus NP unsolved problem explained in plane terms and to the definition of NP-complete problems as the ``most difficult” in the class NP.