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Spatial networks of land cover are well-described by power law rank-size distributions. Continuous field proxies for human settlements, agriculture and forest cover have similar spatial scaling properties spanning 4 to 5 orders of…

Physics and Society · Physics 2015-12-07 Christopher Small , Daniel Sousa

Spatial phenomena are subject to scale effects, but there are rarely studies addressing such effects on spatially embedded contact networks. There are two types of structure in these networks, network structure and spatial structure. The…

Social and Information Networks · Computer Science 2017-01-31 Peng Gao , Ling Bian

Agricultural landscapes are quite complex, especially in the Global South where fields are smaller, and agricultural practices are more varied. In this paper we report on our progress in digitizing the agricultural landscape (natural and…

The concept of scale-free networks has been widely applied across natural and physical sciences. Many claims are made about the properties of these networks, even though the concept of scale-free is often vaguely defined. We present tools…

Adaptation and Self-Organizing Systems · Physics 2013-10-18 Kevin Judd , Michael Small , Thomas Stemler

We generalize the degree-organizational view of real-world networks with broad degree-distributions in a landscape analogue with mountains (high-degree nodes) and valleys (low-degree nodes). For example, correlated degrees between adjacent…

Physics and Society · Physics 2008-02-01 Jacob Bock Axelsen , Sebastian Bernhardsson , Martin Rosvall , Kim Sneppen , Ala Trusina

In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links are existing, they usually connect to hubs-the well connected…

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Barthelemy

Geometric constraints impact the formation of a broad range of spatial networks, from amino acid chains folding to proteins structures to rearranging particle aggregates. How the network of interactions dynamically self-organizes in such…

Molecular Networks · Quantitative Biology 2016-10-19 Nora Molkenthin , Marc Timme

The scale-free (SF) structure that commonly appears in many complex networks is one of the hot topics related to social, biological, and information sciences. The self-organized generation mechanisms are expected to be useful for efficient…

Physics and Society · Physics 2007-05-23 Yukio Hayashi

Because of increasing global urbanization and its immediate consequences, including changes in patterns of food demand, circulation and land use, the next century will witness a major increase in the extent of paved roads built worldwide.…

Physics and Society · Physics 2017-10-13 Emanuele Strano , Andrea Giometto , Saray Shai , Enrico Bertuzzo , Peter J. Mucha , Andrea Rinaldo

We analyze about two hundred naturally occurring networks with distinct dynamical origins to formally test whether the commonly assumed hypothesis of an underlying scale-free structure is generally viable. This has recently been questioned…

Social network structure is very important for understanding human information diffusing, cooperating and competing patterns. It can bring us with some deep insights about how people affect each other. As a part of complex networks, social…

Physics and Society · Physics 2009-02-19 Yanqing Hu , Yougui Wang , Zengru Di

How does the shape of a network change as its size increases? Although random graph models provide some expectations for such "scaling behaviors" in the structure of networks, relatively little is known about how empirical network structure…

Social and Information Networks · Computer Science 2026-03-24 Upasana Dutta , Alexander Ray , Aaron Clauset

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Carl Herrmann , Marc Barthelemy , Paolo Provero

Various approaches and measures from network analysis have been applied to granular and particulate networks to gain insights into their structural, transport, failure-propagation and other systems-level properties. In this article, we…

Soft Condensed Matter · Physics 2019-11-06 Silvia Nauer , Lucas Böttcher , Mason A. Porter

The impact of inhomogeneous arrangement of nodes in space on network organization cannot be neglected in most of real-world scale-free networks. Here, we wish to suggest a model for a geographical network with nodes embedded in a fractal…

Statistical Mechanics · Physics 2015-05-19 Kousuke Yakubo , Dean Korosak

Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Albert-Laszlo Barabasi , Reka Albert , Hawoong Jeong

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

Social and Information Networks · Computer Science 2024-09-16 Rakib Hassan Pran

Complex networks are characterized by several topological properties: degree distribution, clustering coefficient, average shortest path length, etc. Using a simple model to generate scale-free networks embedded on geographical space, we…

Disordered Systems and Neural Networks · Physics 2013-11-20 Satoru Morita

Hierarchical networks actually have many applications in the real world. Firstly, we propose a new class of hierarchical networks with scale-free and fractal structure, which are the networks with triangles compared to traditional…

Combinatorics · Mathematics 2022-11-23 Jia-Bao Liu , Yan Bao , Wu-Ting Zheng

This paper surveys visualization and interaction techniques for geospatial networks from a total of 95 papers. Geospatial networks are graphs where nodes and links can be associated with geographic locations. Examples can include social…

Human-Computer Interaction · Computer Science 2021-04-21 Sarah Schöttler , Yalong Yang , Hanspeter Pfister , Benjamin Bach
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