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We study the popular centrality measure known as effective conductance or in some circles as information centrality. This is an important notion of centrality for undirected networks, with many applications, e.g., for random walks,…

Data Analysis, Statistics and Probability · Physics 2018-08-15 Heman Shakeri , Behnaz Moradi-Jamei , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

A key measure that has been used extensively in analyzing complex networks is the degree of a node (the number of the node's neighbors). Because of its discrete nature, when the degree measure was used in analyzing weighted networks,…

Physics and Society · Physics 2009-04-15 Sherief Abdallah

Centrality is an important notion in complex networks; it could be used to characterize how influential a node or an edge is in the network. It plays an important role in several other network analysis tools including community detection.…

Social and Information Networks · Computer Science 2017-03-23 Sambaran Bandyopadhyay , M. Narasimha Murty , Ramasuri Narayanam

We utilize the PageRank vector to generalize the $k$-means clustering algorithm to directed and undirected graphs. We demonstrate that PageRank and other centrality measures can be used in our setting to robustly compute centrality of nodes…

Machine Learning · Computer Science 2021-03-10 Mustafa Hajij , Eyad Said , Robert Todd

This paper introduces the notion of co-modularity, to co-cluster observations of bipartite networks into co-communities. The task of co-clustering is to group together nodes of one type with nodes of another type, according to the…

Methodology · Statistics 2021-11-09 Thomas E. Bartlett

We study network centrality based on dynamic influence propagation models in social networks. To illustrate our integrated mathematical-algorithmic approach for understanding the fundamental interplay between dynamic influence processes and…

Social and Information Networks · Computer Science 2017-03-02 Wei Chen , Shang-Hua Teng

Centrality metrics aim to identify the most relevant nodes in a network. In literature, a broad set of metrics exists, either measuring local or global centrality characteristics. Nevertheless, when networks exhibit a high spectral gap, the…

Physics and Society · Physics 2025-10-20 Lorenzo Costantini , Carla Sciarra , Luca Ridolfi , Francesco Laio

Identifying influential nodes in complex networks has received increasing attention for its great theoretical and practical applications in many fields. Traditional methods, such as degree centrality, betweenness centrality, closeness…

Physics and Society · Physics 2018-08-15 Qiang Liu , Yuxiao Zhu , Yan Jia , Lu Deng , Bin Zhou , Junxing Zhu , Peng Zou

A pivotal idea in network science, marketing research and innovation diffusion theories is that a small group of nodes -- called influencers -- have the largest impact on social contagion and epidemic processes in networks. Despite the…

Physics and Society · Physics 2018-12-12 Flavio Iannelli , Manuel Sebastian Mariani , Igor M. Sokolov

A number of predictors have been suggested to detect the most influential spreaders of information in online social media across various domains such as Twitter or Facebook. In particular, degree, PageRank, k-core and other centralities…

Physics and Society · Physics 2014-08-12 Sen Pei , Lev Muchnik , Jose S. Andrade , Zhiming Zheng , Hernan A. Makse

We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures…

Methodology · Statistics 2014-01-21 Andreas Joseph , Guanrong Chen

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

Most people simultaneously belong to several distinct social networks, in which their relations can be different. They have opinions about certain topics, which they share and spread on these networks, and are influenced by the opinions of…

Social and Information Networks · Computer Science 2017-06-12 Alexandre Reiffers-Masson , Vincent Labatut

We propose an efficient and accurate measure for ranking spreaders and identifying the influential ones in spreading processes in networks. While the edges determine the connections among the nodes, their specific role in spreading should…

Physics and Society · Physics 2017-09-06 Ying Liu , Ming Tang , Younghae Do , Pak Ming Hui

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

Identifying influential spreaders in complex networks is a crucial problem which relates to wide applications. Many methods based on the global information such as $k$-shell and PageRank have been applied to rank spreaders. However, most of…

Physics and Society · Physics 2015-06-16 Duan-Bing Chen , Rui Xiao , An Zeng , Yi-Cheng Zhang

As the world becomes more and more interconnected, our everyday objects become part of the Internet of Things, and our lives get more and more mirrored in virtual reality, where every piece of~information, including misinformation, fake…

Social and Information Networks · Computer Science 2020-12-04 Robert Paluch , Łukasz G. Gajewski , Janusz A. Hołyst , Boleslaw K. Szymanski

Online network crawling tasks require a lot of efforts for the researchers to collect the data. One of them is identification of important nodes, which has many applications starting from viral marketing to the prevention of disease spread.…

Social and Information Networks · Computer Science 2024-03-22 Mikhail Drobyshevskiy , Denis Aivazov , Denis Turdakov , Alexander Yatskov , Maksim Varlamov , Danil Shayhelislamov

In a social network, the strength of relationships between users can significantly affect the stability of the network. In this paper, we use the k-truss model to measure the stability of a social network. To identify critical connections,…

Social and Information Networks · Computer Science 2019-07-01 Wenjie Zhu , Mengqi Zhang , Chen Chen , Xiaoyang Wang , Fan Zhang , Xuemin Lin

Identifying influencers in a given social network has become an important research problem for various applications, including accelerating the spread of information in viral marketing and preventing the spread of fake news and rumors. The…

Social and Information Networks · Computer Science 2025-01-24 Sho Tsugawa , Kohei Watabe