Construction of an NP Problem with an Exponential Lower Bound

نویسنده

  • Roman V. Yampolskiy
چکیده

In this paper we present a Hashed-Path Traveling Salesperson Problem (HPTSP), a new type of problem which has the interesting property of having no polynomial time solutions. Next we show that HPTSP is in the class NP by demonstrating that local information about subroutes is insufficient to compute the complete value of each route. As a consequence, via Ladner’s theorem, we show that the class NPI is non-empty.

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عنوان ژورنال:
  • CoRR

دوره abs/1111.0305  شماره 

صفحات  -

تاریخ انتشار 2011