Cardinality Maximum Flow Network Interdiction Problem Vs. The Clique Problem
Optimization and Control
2013-12-24 v1 Data Structures and Algorithms
Abstract
Cardinality Maximum Flow Network Interdiction Problem (CMFNIP) is known to be strongly NP-hard problem in the literature. A particular case of CMFNIP has been shown to have reduction from clique problem. In the present work,an effort is being made to solve this particular case of CMFNIP in polynomial time. Direct implication of this solution is that the clique problem gets solved in polynomial time. 3-CNF Satisfiability and Vertex Cover problems, having reductions to and from the Clique Problem respectively, are also being solved in polynomial time by same algorithm. The obvious conclusion of the work is P = NP.
Cite
@article{arxiv.1312.6492,
title = {Cardinality Maximum Flow Network Interdiction Problem Vs. The Clique Problem},
author = {Pawan Tamta and Bhagwati Prasad Pande and H. S. Dhami},
journal= {arXiv preprint arXiv:1312.6492},
year = {2013}
}
Comments
10 pages,3 figures