## P vs NP ... Are They Same ?

**Authors:** Hemant Pandey

P
vs NP is possibly one of the most crucial problems’s of our era owing to the fact that it directly affects one of the most
8
basic things of our modern day survival, the Internet security. The proof will be surely a big blow to the RSA ciphering–
9
deciphering technology but it the way it is! Genuine apologies for
P
= NP. As for as mathematical gain is concern it is a
10
result that opens a search for solution of those 300 plus NP complete problems and much more. The present proof resolves
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P
= NP by the solution of NP complete Hamiltonians path problem in polynomial time. The proof is using topology and
12
simple geometry. Hence
P
= NP; solved for the Hamiltonians path problem or Traveling salesman problem as it is called
13
so. NP complete Hamiltonian’s path problem has a polynomial time solution, i.e.
P
=CN
4
for HPP.
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2006 Published by Elsevier Inc.

**Comments:** 13 Pages. With drawl paper due to technical reasons.

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### Submission history

[v1] 2016-07-23 09:09:27

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