منابع مشابه
Hyperbolic Geometry of Complex Networks
We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong clustering in complex networks emerge naturally as simple reflections of the negative curvature and metric property of the underlying hyperbolic geometry. Conver...
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Various real world phenomena can be modeled by a notion called complex network. Much effort has been devoted into understanding and manipulating this notion. Recent research hints that complex networks have an underlying hyperbolic geometry that gives them navigability, a highly desirable property observed in many complex networks. In this internship, a parameter called δ-hyperbolicity, which i...
متن کاملFast generation of complex networks with underlying hyperbolic geometry
Complex networks have become increasingly popular for modeling various real-world phenomena. Realistic generative network models are important in this context as they avoid privacy concerns of real data and simplify complex network research regarding data sharing, reproducibility, and scalability studies. We investigate a model creating geometric graphs in hyperbolic space. Previous work provid...
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Complex networks have become increasingly popular for modeling real-world phenomena, ranging from web hyperlinks to interactions between people. Realistic generative network models are important in this context as they avoid privacy concerns of real data and simplify complex network research regarding data sharing, reproducibility, and scalability studies. We study a geometric model creating un...
متن کاملClustering and the Hyperbolic Geometry of Complex Networks
Clustering is a fundamental property of complex networks and it is the mathematical expression of a ubiquitous phenomenon that arises in various types of self-organized networks such as biological networks, computer networks or social networks. In this paper, we consider what is called the global clustering coefficient of random graphs on the hyperbolic plane. This model of random graphs was pr...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2010
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.82.036106