On the tractability of the maximum clique problem

March 26, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors R. Dharmarajan, D. Ramachandran arXiv ID 1903.10700 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
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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