A Polynomial Time Algorithm For Solving Clique Problems

March 10, 2015 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Michael LaPlante arXiv ID 1503.04794 Category cs.DS: Data Structures & Algorithms Citations 1 Venue arXiv.org Last Checked 4 months ago
Abstract
I present a single algorithm which solves the clique problems, "What is the largest size clique?", "What are all the maximal cliques?" and the decision problem, "Does a clique of size k exist?" for any given graph in polynomial time. The existence of this algorithm proves that P = NP.
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