A Polynomial Time Algorithm For Solving Clique Problems

TL;DR

This paper claims to introduce a polynomial time algorithm that solves various clique problems in graphs, asserting that it proves P equals NP, which would resolve a major open question in computer science.

Contribution

The paper presents a single polynomial time algorithm claiming to solve all clique problems and prove P=NP, challenging longstanding computational complexity assumptions.

Findings

Algorithm solves all clique problems in polynomial time

Claims to prove P=NP

Implications for computational complexity theory

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.