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For decades, complex networks, such as social networks, biological networks, chemical networks, technological networks, have been used to study the evolution and dynamics of different kinds of complex systems. These complex systems can be…

社会与信息网络 · 计算机科学 2020-12-16 Akrati Saxena

Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

社会与信息网络 · 计算机科学 2023-07-06 Yu Tian , Renaud Lambiotte

Network or graph structures are ubiquitous in the study of complex systems. Often, we are interested in complexity trends of these system as it evolves under some dynamic. An example might be looking at the complexity of a food web as…

信息论 · 计算机科学 2012-01-23 Russell K. Standish

Complex systems have been widely studied by social and natural scientists in terms of their dynamics and their structure. Scholars of cities and urban planning have incorporated complexity theories from qualitative and quantitative…

物理与社会 · 物理学 2017-08-03 Geoff Boeing

Air pollution can be studied in the urban structure regulated by transport networks. Transport networks can be studied as geometric and topological graph characteristics through designed models. Current studies do not offer a comprehensive…

物理与社会 · 物理学 2025-06-03 Nan Xu

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

物理与社会 · 物理学 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

In this paper, we provide novel definitions of clustering coefficient for weighted and directed multilayer networks. We extend in the multilayer theoretical context the clustering coefficients proposed in the literature for weighted…

计量经济学 · 经济学 2022-12-26 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

In principle, the rules of links formation of a network model can be considered as a kind of link prediction algorithm. By revisiting the preferential attachment mechanism for generating a scale-free network, here we propose a class of…

物理与社会 · 物理学 2012-11-09 Ke Hu , Ju Xiang , Wanchun Yang , Xiaoke Xu , Yi Tang

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…

统计力学 · 物理学 2010-09-14 Dmitri Krioukov , Fragkiskos Papadopoulos , Maksim Kitsak , Amin Vahdat , Marian Boguna

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

社会与信息网络 · 计算机科学 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

Complex networks pervade various real-world systems, from the natural environment to human societies. The essence of these networks is in their ability to transition and evolve from microscopic disorder-where network topology and node…

社会与信息网络 · 计算机科学 2025-06-10 Jingtao Ding , Chang Liu , Yu Zheng , Yunke Zhang , Zihan Yu , Ruikun Li , Hongyi Chen , Jinghua Piao , Huandong Wang , Jiazhen Liu , Yong Li

The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

离散数学 · 计算机科学 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

We develop a new ensemble of modular random graphs in which degree-degree correlations can be different in each module and the inter-module connections are defined by the joint degree-degree distribution of nodes for each pair of modules.…

物理与社会 · 物理学 2014-04-18 Sergey Melnik , Mason A. Porter , Peter J. Mucha , James P. Gleeson

These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is flourishing proving an ideal mathematical and computational…

量子物理 · 物理学 2024-06-13 Johannes Nokkala , Jyrki Piilo , Ginestra Bianconi

Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years…

The flow models of complex network system are developed and main flow characteristics of its elements are defined. Those characteristics are applied for determining actual structure of the system, analyzing its development on all lifecycle…

物理与社会 · 物理学 2021-04-29 Olexandr Polishchuk

The clustering coefficient is a valuable tool for understanding the structure of complex networks. It is widely used to analyze social networks, biological networks, and other complex systems. While there is generally a single common…

物理与社会 · 物理学 2024-01-09 Alexander I Nesterov

The degree distribution is an important characteristic of complex networks. In many applications, quantification of degree distribution in the form of a fixed-length feature vector is a necessary step. On the other hand, we often need to…

社会与信息网络 · 计算机科学 2013-12-24 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

In the last decade, there has been a growing body of literature addressing the utilization of complex network methods for the characterization of dynamical systems based on time series. While both nonlinear time series analysis and complex…

数据分析、统计与概率 · 物理学 2025-02-03 Yong Zou , Reik V. Donner , Norbert Marwan , Jonathan F. Donges , Jürgen Kurths

The importance of structured, complex connectivity patterns found in several real-world systems is to a great extent related to their respective effects in constraining and even defining the respective dynamics. Yet, while complex networks…

组织与器官 · 定量生物学 2008-05-16 Matheus P. Viana , Bruno A. N. Travencolo , E. Tanck , Luciano da F. Costa
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