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Complex networks datasets often come with the problem of missing information: interactions data that have not been measured or discovered, may be affected by errors, or are simply hidden because of privacy issues. This Element provides an…

物理与社会 · 物理学 2021-08-11 Giulio Cimini , Rossana Mastrandrea , Tiziano Squartini

We perform an extensive analysis of how sampling impacts the estimate of several relevant network measures. In particular, we focus on how a sampling strategy optimized to recover a particular spectral centrality measure impacts other…

社会与信息网络 · 计算机科学 2020-12-11 Nicolò Ruggeri , Caterina De Bacco

Mapping a complex network to an atomic cluster, the Anderson localization theory is used to obtain the load distribution on a complex network. Based upon an intelligence-limited model we consider the load distribution and the congestion and…

无序系统与神经网络 · 物理学 2007-05-23 Huijie Yang , Fangcui Zhao , Tao Zhou , Wenxu Wang , Binghong Wang

In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is…

适应与自组织系统 · 物理学 2015-03-13 Zhaoyan Wu , Jinqiao Duan , Xinchu Fu

Differently from theoretical scale-free networks, most of real networks present multi-scale behavior with nodes structured in different types of functional groups and communities. While the majority of approaches for classification of nodes…

物理与社会 · 物理学 2012-03-22 Filipi Nascimento Silva , Marilza A. Rodrigues , Luciano da Fontoura Costa

Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

物理与社会 · 物理学 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

While symmetry has been exploited to analyze synchronization patterns in complex networks, the identification of symmetries in large-size network remains as a challenge. We present in the present work a new method, namely the method of…

适应与自组织系统 · 物理学 2023-08-04 Huwei Fan , Xingang Wang

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

社会与信息网络 · 计算机科学 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

Degree distribution of nodes, especially a power law degree distribution, has been regarded as one of the most significant structural characteristics of social and information networks. Node degree, however, only discloses the first-order…

社会与信息网络 · 计算机科学 2010-09-23 Ajay Sridharan , Yong Gao , Kui Wu , James Nastos

We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

统计力学 · 物理学 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

We propose a novel measure to assess the presence of meso-scale structures in complex networks. This measure is based on the identification of regular patterns in the adjacency matrix of the network, and on the calculation of the quantity…

物理与社会 · 物理学 2015-06-18 Massimiliano Zanin , Pedro A. Sousa , Ernestina Menasalvas

This paper introduces a novel framework that combines traditional centrality measures with eigenvalue spectra and diffusion processes for a more comprehensive analysis of complex networks. While centrality measures such as degree,…

其他计算机科学 · 计算机科学 2025-03-28 Arsh Jha

Science is increasingly dominated by teams. Understanding patterns of scientific collaboration and their impacts on the productivity and evolution of disciplines is crucial to understand scientific processes. Electronic bibliography offers…

物理与社会 · 物理学 2014-09-17 Qing Ke , Yong-Yeol Ahn

This paper is an extensive survey of literature on complex network communities and clustering. Complex networks describe a widespread variety of systems in nature and society especially systems composed by a large number of highly…

社会与信息网络 · 计算机科学 2015-03-24 Biswajit Saha , Amitabha Mandal , Soumendu Bikas Tripathy , Debaprasad Mukherjee

The topological information of a network can be retrieved equivalently from its complement consisting of the same nodes but complementary edges. Hence the partition of a network into certain substructures based on given criteria should be…

物理与社会 · 物理学 2009-08-07 Jiao Wang , C. -H. Lai

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

物理与社会 · 物理学 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Several real-world and abstract structures and systems are characterized by marked hierarchy to the point of being expressed as trees. Because the study of these entities often involves sampling (or discovering) the tree nodes in a specific…

物理与社会 · 物理学 2022-04-18 Alexandre Benatti , Luciano da F. Costa

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

统计力学 · 物理学 2009-11-10 M. E. J. Newman , M. Girvan

Networks in nature possess a remarkable amount of structure. Via a series of data-driven discoveries, the cutting edge of network science has recently progressed from positing that the random graphs of mathematical graph theory might…

物理与社会 · 物理学 2008-07-14 Natali Gulbahce , Sune Lehmann

A major problem in the study of complex socioeconomic systems is represented by privacy issues$-$that can put severe limitations on the amount of accessible information, forcing to build models on the basis of incomplete knowledge. In this…