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arXiv 2103.03135cs.SI
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次线性控制与核心网络

Sublinear Domination and Core-Periphery Networks

Marios Papachristou

摘要:

本文设计了一个具有核心-外围性质的生成式随机网络模型,其核心节点充当次线性支配者,即如果网络中有$n$节点,则核心节点的大小为$o(n)$,并支配整个网络.我们表明,该模型产生的实例呈现幂律度分布,并结合小世界现象。我们还将我们的模型适用于各种现实世界的网络。

英文摘要:

In this paper we devise a generative random network model with core-periphery properties whose core nodes act as sublinear dominators, that is, if the network has $n$ nodes, the core has size $o(n)$ and dominates the entire network. We show that instances generated by this model exhibit power law degree distributions, and incorporates small-world phenomena. We also fit our model in a variety of real-world 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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