English

On the tractability of the maximum clique problem

Data Structures and Algorithms 2019-05-20 v2

Abstract

The maximum clique problem is a classical NP-complete problem in graph theory and has important applications in many domains. In this paper we show, in a partially non-constructive way, the existence of an exact polynomial-time algorithm for this problem. We outline the algorithm in pseudo-code style. Then we prove its exactness and efficiency by analysis.

Keywords

Cite

@article{arxiv.1903.10700,
  title  = {On the tractability of the maximum clique problem},
  author = {R. Dharmarajan and D. Ramachandran},
  journal= {arXiv preprint arXiv:1903.10700},
  year   = {2019}
}

Comments

15 (fifteen) pages

R2 v1 2026-06-23T08:19:02.932Z