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In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

In complex scale-free networks, ranking the individual nodes based upon their importance has useful applications, such as the identification of hubs for epidemic control, or bottlenecks for controlling traffic congestion. However, in most…

Physics and Society · Physics 2007-05-23 Pan-Jun Kim , Hawoong Jeong

Mapping network flows provides insight into the organization of networks, but even though many real-networks are bipartite, no method for mapping flows takes advantage of the bipartite structure. What do we miss by discarding this…

Social and Information Networks · Computer Science 2020-11-18 Christopher Blöcker , Martin Rosvall

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

Social and Information Networks · Computer Science 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang

This study develops PureRank, a parameter-free importance measure for network nodes based on the recursive definition of importance (RDI). For any directed network, PureRank uniquely determines an importance score vector without…

Social and Information Networks · Computer Science 2026-05-08 Hiroyuki Masuyama

We consider the problem of maximizing an unknown function over a compact and convex set using as few observations as possible. We observe that the optimization of the function essentially relies on learning the induced bipartite ranking…

Machine Learning · Statistics 2017-03-08 Cédric Malherbe , Nicolas Vayatis

We introduce Loop Ranking, a new ranking measure based on the detection of closed paths, which can be computed in an efficient way. We analyze it with respect to several ranking measures which have been proposed in the past, and are widely…

Disordered Systems and Neural Networks · Physics 2013-05-29 Valery Van Kerrebroeck , Enzo Marinari

Ecological networks are often composed of different sub-communities (often referred to as modules). Identifying such modules has the potential to develop a better understanding of the assembly of ecological communities and to investigate…

Quantitative Methods · Quantitative Biology 2014-03-14 Carsten F. Dormann , Rouven Strauss

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

High-centrality nodes have disproportionate influence on the behavior of a network; therefore controlling such nodes can efficiently steer the system to a desired state. Existing multiplex centrality measures typically rank nodes assuming…

Physics and Society · Physics 2019-06-10 Márton Pósfai , Niklas Braun , Brianne A. Beisner , Brenda McCowan , Raissa M. D'Souza

The assessment of node importance has been a fundamental issue in the research of complex networks. In this paper, we propose to use the Shannon-Parry measure (SPM) to evaluate the importance of a node quantitatively, because SPM is the…

Social and Information Networks · Computer Science 2014-02-25 Shen Huang , Hongfei Cui , Yiming Ding

PageRank (PR) is a fundamental tool for assessing the relative importance of the nodes in a network. In this paper, we propose a measure, weighted PageRank (WPR), extended from the classical PR for weighted, directed networks with possible…

Physics and Society · Physics 2021-05-18 Panpan Zhang , Tiandong Wang , Jun Yan

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…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized…

Social and Information Networks · Computer Science 2012-08-06 Rumi Ghosh , Kristina Lerman

PageRank is arguably the most popular ranking algorithm which is being applied in real systems ranging from information to biological and infrastructure networks. Despite its outstanding popularity and broad use in different areas of…

Physics and Society · Physics 2015-12-09 Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang

Researchers have typically concentrated on analyzing what happens internally in a complex network and using this to distinguish between nodes. However, there has been less effort towards comparing between different networks. In this paper,…

Social and Information Networks · Computer Science 2015-03-03 Zeynab Bahrami Bidoni , Roy George

Numerous centrality measures have been proposed to evaluate the importance of nodes in networks, yet comparative analyses of these measures remain limited. Based on 80 real-world networks, we conducted an empirical analysis of 16…

Other Statistics · Statistics 2025-08-14 Yilin Bi , Xinshan Jiao , Tao Zhou

Node influence metrics have been applied to many applications, including ranking web pages on internet, or locations on spatial networks. PageRank is a popular and effective algorithm for estimating node influence. However, conventional…

Social and Information Networks · Computer Science 2021-04-07 Qiwei Ma , Zhaoya Gong

The last decade has seen a revolution in the theory and application of machine learning and pattern recognition. Through these advancements, variable ranking has emerged as an active and growing research area and it is now beginning to be…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Giorgio Roffo

Ranking algorithms are pervasive in our increasingly digitized societies, with important real-world applications including recommender systems, search engines, and influencer marketing practices. From a network science perspective,…

Physics and Society · Physics 2020-06-01 Manuel S. Mariani , Linyuan Lü