**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31100

##### A Deterministic Polynomial-time Algorithm for the Clique Problem and the Equality of P and NP Complexity Classes

**Authors:**
Zohreh O. Akbari

**Abstract:**

**Keywords:**
Clique problem,
Deterministic Polynomial-time
Algorithm,
Equality of P and NP Complexity Classes

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1334938

**References:**

[1] Richard E. Neapolitan and Kumarss Naimipour, "Foundations of Algorithms using C++ Pseudocode", 3rd ed., Jones and Bartlett Publishers, 2003, ch. 9.

[2] Michael Sipser, "Introduction to the Theory of Computation", 2nd ed., International Edition, Thomson Course Technology, p 270, definition 7.19 and theorem 7.20, 2006.

[3] Stephen A. Cook, "The complexity of theorem-proving procedures", Proceedings of Third Annual ACM Symposium on Theory of Computing, pages 151-158, 1971.

[4] Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein, "Introduction to Algorithms", 2nd ed., MIT Press and McGraw-Hill, 2001, ch. 22 and ch. 34.

[5] Stephen A. Cook, "The P versus NP problem". Manuscript prepared for the Clay Mathematics Institute for the Millennium Prize Problems, 2000.

[6] Richard M. Karp, "Reducibility among combinatorial problems", In R. E. Miller and J. W. Thatcher (editors): Complexity of Computer Computations, pages 85-103, New York: Plenum Press, 1972.