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In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

物理与社会 · 物理学 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

分子网络 · 定量生物学 2012-03-09 Simon DeDeo , David C. Krakauer

We study how the graph structure of the Internet at the Autonomous Systems (AS) level evolved during a decade. For each year of the period 2008-2017 we consider a snapshot of the AS graph and examine how many features related to structure,…

网络与互联网体系结构 · 计算机科学 2019-08-27 Agostino Funel

A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises: what is the optimal layout to fulfill best all the demands?…

物理与社会 · 物理学 2014-06-30 C. I. N. Sampaio Filho , A. A. Moreira , R. F. S. Andrade , H. J. Herrmann , J. S. Andrade

Empirical complex systems must differentially respond to external perturbations and, at the same time, internally distribute information to coordinate their components. While networked backbones help with the latter, they limit the…

物理与社会 · 物理学 2025-04-18 Arsham Ghavasieh , Manlio De Domenico

Long lived topological features are distinguished from short lived ones (considered as topological noise) in simplicial complexes constructed from complex networks. A new topological invariant, persistent homology, is determined and…

数学物理 · 物理学 2009-11-13 Danijela Horak , Slobodan Maletic , Milan Rajkovic

Two important aspects of the Internet, namely the properties of its topology and the characteristics of its data traffic, have attracted growing attention of the physics community. My thesis has considered problems of both aspects. First I…

网络与互联网体系结构 · 计算机科学 2008-10-08 Attila Fekete

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

网络与互联网体系结构 · 计算机科学 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

We analyze information diffusion using empirical data that tracks online communication around two instances of mass political mobilization, including the year that lapsed in-between the protests. We compare the global properties of the…

Congruence theory has many applications in physical, social, biological and technological systems. Congruence arithmetic has been a fundamental tool for data security and computer algebra. However, much less attention was devoted to the…

数论 · 数学 2016-03-21 Xiao-Yong Yan , Wen-Xu Wang , Guan-Rong Chen , Ding-Hua Shi

Complex networks as the World Wide Web, the web of human sexual contacts or criminal networks often do not have an engineered architecture but instead are self-organized by the actions of a large number of individuals. From these local…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Joern Davidsen , Stefan Bornholdt

The coarsest approximation of the structure of a complex network, such as the Internet, is a simple undirected unweighted graph. This approximation, however, loses too much detail. In reality, objects represented by vertices and edges in…

网络与互联网体系结构 · 计算机科学 2009-11-02 Xenofontas Dimitropoulos , Dmitri Krioukov , Amin Vahdat , George Riley

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

社会与信息网络 · 计算机科学 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha

Many real-world complex systems such as social, biological, information as well as technological systems results of a decentralized and unplanned evolution which leads to a common structuration. Irrespective of their origin, these so-called…

社会与信息网络 · 计算机科学 2013-05-03 Chantal Cherifi , Jean-François Santucci

Recent progress in network topology modeling [1], [2] has shown that it is possible to create smaller-scale replicas of large complex networks, like the Internet, while simultaneously preserving several important topological properties.…

网络与互联网体系结构 · 计算机科学 2015-08-18 Constantinos Psomas , Fragkiskos Papadopoulos

Despite its increasing role in communication, the world wide web remains the least controlled medium: any individual or institution can create websites with unrestricted number of documents and links. While great efforts are made to map and…

无序系统与神经网络 · 物理学 2016-08-31 Reka Albert , Hawoong Jeong , Albert-Laszlo Barabasi

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

适应与自组织系统 · 物理学 2018-08-21 Giannis Moutsinas , Weisi Guo

Complex adaptive networks exhibit remarkable resilience, driven by the dynamic interplay of structure (interactions) and function (state). While static-network analyses offer valuable insights, understanding how structure and function…

物理与社会 · 物理学 2025-01-27 Casper van Elteren , Vítor V. Vasconcelos , Mike H. Lees

We introduce and use k-shell decomposition to investigate the topology of the Internet at the AS level. Our analysis separates the Internet into three sub-components: (a) a nucleus which is a small (~100 nodes) very well connected globally…

网络与互联网体系结构 · 计算机科学 2007-06-23 Shai Carmi , Shlomo Havlin , Scott Kirkpatrick , Yuval Shavitt , Eran Shir