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Stars and cycles are basic structures in network construction. The former has been well studied in network analysis, while the latter attracted rare attention. A node together with its neighbors constitute a neighborhood star-structure…

Physics and Society · Physics 2019-03-13 Tianlong Fan , Linyuan Lü , Dinghua Shi

This paper proposes a new measure of node centrality in social networks, the Harmonic Influence Centrality, which emerges naturally in the study of social influence over networks. Using an intuitive analogy between social and electrical…

Optimization and Control · Mathematics 2014-01-16 Luca Vassio , Fabio Fagnani , Paolo Frasca , Asuman Ozdaglar

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Over the last couple of decades, Social Networks have connected people on the web from across the globe and have become a crucial part of our daily life. These networks have also rapidly grown as platforms for propagating products, ideas,…

Social and Information Networks · Computer Science 2022-11-23 Aaryan Gupta , Inder Khatri , Arjun Choudhry , Sanjay Kumar

How do the ratings of critics and amateurs compare and how should they be combined? Previous research has produced mixed results about the first question, while the second remains unanswered. We have created a new, unique dataset, with wine…

Social and Information Networks · Computer Science 2024-09-16 Pantelis P. Analytis , Karthikeya Kaushik , Stefan Herzog , Bahador Bahrami , Ophelia Deroy

Social networks play a fundamental role in the diffusion of innovation through peers' influence on adoption. Thus, network position including a wide range of network centrality measures have been used to describe individuals' affinity to…

Social and Information Networks · Computer Science 2022-10-26 Balázs R. Sziklai , Balázs Lengyel

The widespread relevance of complex networks is a valuable tool in the analysis of a broad range of systems. There is a demand for tools which enable the extraction of meaningful information and allow the comparison between different…

Physics and Society · Physics 2011-03-30 Kathryn Cooper , Mauricio Barahona

Network data has attracted growing interest across scientific domains, prompting the development of various network models. Existing network analysis methods mainly focus on unsigned networks, whereas signed networks, consisting of both…

Methodology · Statistics 2026-03-25 Yuwen Wang , Shiwen Ye , Jingnan Zhang , Junhui Wang

This paper reviews the main network analysis methods used to measure structural power, which refers to the ability to shape outcomes through network position and influence, and the ability to affect others through network connections. These…

The trophic levels of nodes in directed networks can reveal their functional properties. Moreover, the trophic coherence of a network, defined in terms of trophic levels, is related to properties such as cycle structure, stability and…

Physics and Society · Physics 2020-01-16 R. S. MacKay , S. Johnson , B. Sansom

Targeting influential nodes in complex networks allows fastening or hindering rumors, epidemics, and electric blackouts. Since communities are prevalent in real-world networks, community-aware centrality measures exploit this information to…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Ali Yassin , Ali Jaber , Hocine Cherifi

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

Information Retrieval · Computer Science 2009-02-12 Hai Zhuge , Junsheng Zhang

We provide a framework for determining the centralities of agents in a broad family of random networks. Current understanding of network centrality is largely restricted to deterministic settings, but practitioners frequently use random…

Social and Information Networks · Computer Science 2022-02-07 Krishna Dasaratha

Critical infrastructure networks are a key ingredient of modern society. We discuss a general method to spot the critical components of a critical infrastructure network, i.e. the nodes and the links fundamental to the perfect functioning…

Other Condensed Matter · Physics 2009-11-10 Vito Latora , Massimo Marchiori

In real world complex networks, the importance of a node depends on two important parameters: 1. characteristics of the node, and 2. the context of the given application. The current literature contains several centrality measures that have…

Social and Information Networks · Computer Science 2017-11-01 Akrati Saxena , S. R. S. Iyengar

Measuring the importance of nodes in a network with a centrality measure is a core task in any network application. There are many measures available and it is speculated that many encode similar information. We give an explicit non-linear…

Physics and Society · Physics 2022-07-05 Tim S. Evans , Bingsheng Chen

This paper proposes a simple procedure to decide whether the empirically-observed adjacency or weights matrix, which characterizes the graph underlying a socio-economic network, is sufficiently symmetric (respectively, asymmetric) to…

Physics and Society · Physics 2007-05-23 Giorgio Fagiolo

Edges in a network can be divided into two kinds according to their different roles: some enhance the locality like the ones inside a cluster while others contribute to the global connectivity like the ones connecting two clusters. A recent…

Physics and Society · Physics 2015-03-17 Xue-Qi Cheng , Fu-Xin Ren , Hua-Wei Shen , Zi-Ke Zhang , Tao Zhou

Identifying the most influential nodes in networked systems is of vital importance to optimize their function and control. Several scalar metrics have been proposed to that effect, but the recent shift in focus towards network structures…

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer