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arXiv 1605.06754math.CO
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用离散欧拉演算求解传感器计数问题的最小网络

Minimal networks for sensor counting problem using discrete Euler calculus

Kohei Tanaka

摘要:

提出了一种基于欧拉示性数的积分理论的非循环传感器网络目标计数噪声抑制方法。对于一个非循环网络(一个偏序集)配备了传感器检测目标,我们找到可约点枚举目标,作为一个推广的弱拍点(同伦可约点)。该理论对提高非循环传感器网络的可靠性和优化有一定的指导意义。

英文摘要:

This paper proposes a method to reduce noise in acyclic sensor networks enumerating targets using the integral theory with respect to Euler characteristic. For an acyclic network (a partially ordered set) equipped with sensors detecting targets, we find reducible points for enumerating targets, as a generalization of weak beat points (homotopically reducible points). This theory is useful for improving the reliability and optimization of acyclic sensor networks.

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。

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