稀疏随机图中支配数的估计及其应用

Martin Nehéz, Dusan Bernát, M. Lelovský
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引用次数: 2

摘要

在机载入侵检测和防御系统的激励下,我们研究了具有线性连接数的稀疏随机图。我们建立了支配数的理论界限,我们的分析给出了[6]中提出的问题的部分解。我们的计算机模拟是基于整数线性规划优化方法。实验结果验证了我们的分析估计,并为今后的研究指明了方向。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Estimation of the domination number in sparse random graphs and applications
Motivated by airborne intruder detection and defence systems, we examine sparse random graphs with linear number of connections. We establish theoretical bounds on domination number and our analysis gives a partial solution of the problem posed in [6]. Our computer simulations are based on the integer linear programming optimization method. The experimental results verify our analytical estimations and suggest a direction for the future research.
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