Geometric Protean Graphs

Q3 Mathematics Internet Mathematics Pub Date : 2011-10-31 DOI:10.1080/15427951.2012.625246
A. Bonato, J. Janssen, P. Prałat
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引用次数: 26

Abstract

Abstract We study the link structure of online social networks (OSNs) and introduce a new model for such networks that may help in inferring their hidden underlying reality. In the geo-protean (GEO-P) model for OSNs, nodes are identified with points in Euclidean space, and edges are stochastically generated by a mixture of the relative distance of nodes and a ranking function. With high probability, the GEO-P model generates graphs satisfying many observed properties of OSNs, such as power-law degree distributions, the small-world property, densification power law, and bad spectral expansion. We introduce the dimension of an OSN based on our model and examine this new parameter using actual OSN data. We discuss how the geo-protean model may eventually be used as a tool to group users with similar attributes using only the link structure of the network.
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几何变形图
摘要:本文研究了在线社交网络(OSNs)的链接结构,并为此类网络引入了一个新的模型,该模型可能有助于推断其隐藏的潜在现实。GEO-P (geo-protean)模型利用欧几里得空间中的点来识别节点,并结合节点的相对距离和排序函数随机生成边缘。在高概率下,GEO-P模型生成的图满足osn的许多观测性质,如幂律度分布、小世界性质、致密化幂律和不良谱展开。我们基于我们的模型引入OSN的维度,并使用实际的OSN数据检查这个新参数。我们讨论了地理变形模型如何最终被用作一种工具,仅使用网络的链接结构对具有相似属性的用户进行分组。
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Internet Mathematics
Internet Mathematics Mathematics-Applied Mathematics
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