.. _hamiltonianCycle_to_TSP:

.. raw:: html

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.. odsalink:: AV/NP/HCtoTSPCON.css
.. This file is part of the OpenDSA eTextbook project. See
.. http://opendsa.org for more details.
.. Copyright (c) 2012-2020 by the OpenDSA Project Contributors, and
.. distributed under an MIT open source license.

.. avmetadata::
   :author: Nabanita Maji
   :topic: NP-completeness

Reduction of Hamiltonian Cycle to Traveling Salesman
====================================================

Hamiltonian Cycle to Traveling Salesman
---------------------------------------

The following slideshow shows that an instance of Hamiltonian Cycle 
problem can be reduced to an instance of Traveling Salesman problem in 
polynomial time.
 
.. inlineav:: HCtoTSPCON ss
   :points: 0.0
   :required: False
   :threshold: 1.0
   :id: 199304
   :long_name: HC to TSP Reduction
   :output: show

This reduction can help in providing an NP Completeness proof for 
the Traveling Salesman problem.

.. odsascript:: AV/NP/HCtoTSPCON.js