On the tractability of the maximum clique problem

R. Dharmarajan; D. Ramachandran

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arXiv · 1903.10700

On the tractability of the maximum clique problem

R. Dharmarajan·D. Ramachandran

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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.

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R. Dharmarajan, D. Ramachandran. 2019-05-17. On the tractability of the maximum clique problem. https://arxiv.org/abs/1903.10700

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