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Cross-correlations in the activity in neural networks are commonly used to characterize their dynamical states and their anatomical and functional organizations. Yet, how these latter network features affect the spatiotemporal structure of…

Neurons and Cognition · Quantitative Biology 2018-09-26 Ran Darshan , Carl van Vreeswijk , David Hansel

The organisation of a network in a maximal set of nodes having at least $k$ neighbours within the set, known as $k$-core decomposition, has been used for studying various phenomena. It has been shown that nodes in the innermost $k$-shells…

Physics and Society · Physics 2020-09-08 Irene Malvestio , Alessio Cardillo , Naoki Masuda

The position of the nodes within a network topology largely determines the level of their involvement in various networking functions. Yet numerous node centrality indices, proposed to quantify how central individual nodes are in this…

Social and Information Networks · Computer Science 2013-12-18 George Nomikos , Panagiotis Pantazopoulos , Merkourios Karaliopoulos , Ioannis Stavrakakis

Graphs are a powerful way to model interactions and relationships in data from a wide variety of application domains. In this setting, entities represented by vertices at the "center" of the graph are often more important than those…

Social and Information Networks · Computer Science 2014-11-06 Michael P. O'Brien , Blair D. Sullivan

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

Network topology and its relationship to tie strengths may hinder or enhance the spreading of information in social networks. We study the correlations between tie strengths and topology in networks of scientific collaboration, and show…

Physics and Society · Physics 2012-01-12 Raj Kumar Pan , Jari Saramäki

Dense cooperative networks are an essential element of social capital for a prosperous society. These networks enable individuals to overcome collective action dilemmas by enhancing trust. In many biological and social settings, network…

Populations and Evolution · Quantitative Biology 2012-12-11 Yunkyu Sohn , Jung-Kyoo Choi , T. K. Ahn

How to identify influential nodes in social networks is of theoretical significance, which relates to how to prevent epidemic spreading or cascading failure, how to accelerate information diffusion, and so on. In this Letter, we make an…

Physics and Society · Physics 2015-06-23 Xiang-Yu Zhao , Bin Huang , Ming Tang , Hai-Feng Zhang , Duan-Bing Chen

Recent study shows that the accuracy of the k-shell method in determining node coreness in a spreading process is largely impacted due to the existence of core-like group, which has a large k-shell index but a low spreading efficiency.…

Physics and Society · Physics 2015-05-28 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

In this paper we devise a generative random network model with core-periphery properties whose core nodes act as sublinear dominators, that is, if the network has $n$ nodes, the core has size $o(n)$ and dominates the entire network. We show…

Social and Information Networks · Computer Science 2021-07-28 Marios Papachristou

Temporal higher-order networks, where each hyperlink involving a group of nodes are activated or deactivated over time, are recently used to represent complex systems such as social contacts, interactions or collaborations that occur at…

Physics and Society · Physics 2024-12-18 Shilun Zhang , Alberto Ceria , Huijuan Wang

The core group is an invariant of unoriented virtual links. We introduce a peripheral structure for the core group, in which the longitudes are sensitive to orientations. We show that the combination of the core group and its peripheral…

Geometric Topology · Mathematics 2026-02-26 Daniel S. Silver , Lorenzo Traldi

Evaluating node influence is fundamental for identifying key nodes in complex networks. Existing methods typically rely on generic indicators to rank node influence across diverse networks, thereby ignoring the individualized features of…

Social and Information Networks · Computer Science 2024-05-14 Bingyu Zhu , Qingyun Sun , Jianxin Li , Daqing Li

Previous investigations into creative and innovation networks have suggested that innovations often occurs at the boundary between the network's core and periphery. In this work, we investigate the effect of global core-periphery network…

Multiagent Systems · Computer Science 2023-02-24 Jesse Milzman , Cody Moser

Core-periphery (CP) structure is frequently observed in networks where the nodes form two distinct groups: a small, densely interconnected core and a sparse periphery. Borgatti and Everett (2000) proposed one of the most popular methods to…

Computation · Statistics 2026-01-27 Eric Yanchenko , Srijan Sengupta

Data collection often involves the partial measurement of a larger system. A common example arises in collecting network data: we often obtain network datasets by recording all of the interactions among a small set of core nodes, so that we…

Social and Information Networks · Computer Science 2019-03-06 Austin R. Benson , Jon Kleinberg

Core-periphery structure is an essential mesoscale feature in complex networks. Previous researches mostly focus on discriminative approaches while in this work, we propose a generative model called masked Bayesian non-negative matrix…

Social and Information Networks · Computer Science 2024-01-17 Zhonghao Wang , Ru Yuan , Jiaye Fu , Ka-Chun Wong , Chengbin Peng

Networks are ubiquitous in various fields, representing systems where nodes and their interconnections constitute their intricate structures. We introduce a network decomposition scheme to reveal multiscale core-periphery structures lurking…

Physics and Society · Physics 2025-05-13 Wonhee Jeong , Unjong Yu , Sang Hoon Lee

Recent approaches on elite identification highlighted the important role of {\em intermediaries}, by means of a new definition of the core of a multiplex network, the {\em generalised} $K$-core. This newly introduced core subgraph crucially…

Physics and Society · Physics 2014-12-23 Bernat Corominas-Murtra , Stefan Thurner

At rest, human brain functional networks display striking modular architecture in which coherent clusters of brain regions are activated. The modular account of brain function is pervasive, reliable, and reproducible. Yet, a complementary…

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