阿里阿德涅线索上的平衡:一个在多项式时间内计算最大团的算法
Poising on Ariadne's thread: An algorithm for computing a maximum clique in polynomial time
摘要:
在本文中,我们提出了一个多项式时间算法的最大团问题,其中意味着P = NP。我们的算法是基于这个问题的连续博弈论表示,其核心在于一个离散时间动力系统。我们的动力系统的规则依赖于一个参数,使得如果这个参数等于最大团大小,我们的动力系统的迭代保证收敛到最大团。
英文摘要:
In this paper, we present a polynomial-time algorithm for the maximum clique problem, which implies P = NP. Our algorithm is based on a continuous game-theoretic representation of this problem and at its heart lies a discrete-time dynamical system. The rule of our dynamical system depends on a parameter such that if this parameter is equal to the maximum-clique size, the iterates of our dynamical system are guaranteed to converge to a maximum clique.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。