.. _independentSet_to_vertexCover:

.. raw:: html

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.. |---| unicode:: U+2014  .. em dash, trimming surrounding whitespace
   :trim:



.. odsalink:: AV/NP/IStoVCCON.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 Independent Set to Vertex Cover
============================================

Independent Set to Vertex Cover
-------------------------------

The following slideshow shows that an instance of Independent Set
problem can be reduced to an instance of Vertex Cover problem 
in polynomial time.
 
.. inlineav:: IStoVCCON ss
   :points: 0.0
   :required: False
   :threshold: 1.0
   :id: 205588
   :long_name: IS to VC Reduction
   :output: show

This reduction can help in providing an NP Completeness proof for 
the Vertex Cover problem.

.. odsascript:: AV/NP/IStoVCCON.js