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Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

Physics and Society · Physics 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

The community plays a crucial role in understanding user behavior and network characteristics in social networks. Some users can use multiple social networks at once for a variety of objectives. These users are called overlapping users who…

Social and Information Networks · Computer Science 2024-05-08 Ziqing Zhu , Guan Yuan , Tao Zhou , Jiuxin Cao

We investigate several geometric models of network which simultaneously have some nice global properties, that the small diameter property, the small-community phenomenon, which is defined to capture the common experience that (almost)…

Probability · Mathematics 2011-07-29 Angsheng Li , Pan Peng

We propose a model for network community detection using topological data analysis, a branch of modern data science that leverages theory from algebraic topology to statistical analysis and machine learning. Specifically, we use cellular…

Social and Information Networks · Computer Science 2023-10-10 Arne Wolf , Anthea Monod

We describe and develop three recent novelties in network research which are particularly useful for studying social systems. The first one concerns the discovery of some basic dynamical laws that enable the emergence of the fundamental…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Hans J. Herrmann

Community detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

We present an empirical study of different social networks obtained from digital repositories. Our analysis reveals the community structure and provides a useful visualising technique. We investigate the scaling properties of the community…

Statistical Mechanics · Physics 2009-11-10 Alex Arenas , Leon Danon , Albert Diaz-Guilera , Pablo M. Gleiser , Roger Guimera

A particular challenge in the area of social media analysis is how to find communities within a larger network of social interactions. Here a community may be a group of microblogging users who post content on a coherent topic, or who are…

Social and Information Networks · Computer Science 2012-07-03 Derek Greene , Derek O'Callaghan , Pádraig Cunningham

Many networks can be characterised by the presence of communities, which are groups of units that are closely linked. Identifying these communities can be crucial for understanding the system's overall function. Recently, hypergraphs have…

Social and Information Networks · Computer Science 2024-03-12 Quintino Francesco Lotito , Federico Musciotto , Alberto Montresor , Federico Battiston

We introduce an analytical statistical method to characterize the communities detected in heterogeneous complex systems. By posing a suitable null hypothesis, our method makes use of the hypergeometric distribution to assess the probability…

Recent developments in the internet and technology have made major advancements in tools that facilitate the collection of social data, opening up thus new opportunities for analyzing social networks. Social network analysis studies the…

Social and Information Networks · Computer Science 2022-12-06 Souaad Boudebza

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

We study the behavior of network diffusions based on the PageRank random walk from a set of seed nodes. These diffusions are known to reveal small, localized clusters (or communities) and also large macro-scale clusters by varying a…

Social and Information Networks · Computer Science 2016-07-06 Kyle Kloster , David F. Gleich

Social networks are the social structures which are composed of people and their relationships and nowadays, play an important role in data extension. In such networks, the communities are recognized as the groups of users who are often…

Social and Information Networks · Computer Science 2020-11-26 Reyhaneh Rigia , Mehrdad Jalali , Mohammad Hosein Moattar

The concept of entropy rate for a dynamical process on a graph is introduced. We study diffusion processes where the node degrees are used as a local information by the random walkers. We describe analitically and numerically how the degree…

Statistical Mechanics · Physics 2009-11-13 Jesus Gomez-Gardenes , Vito Latora

In order to efficiently explore the chemical space of all possible small molecules, a common approach is to compress the dimension of the system to facilitate downstream machine learning tasks. Towards this end, we present a data driven…

Biomolecules · Quantitative Biology 2024-01-23 Paula Mercurio , Di Liu

Communities are fundamental entities for the characterization of the structure of real networks. The standard approach to the identification of communities in networks is based on the optimization of a quality function known as…

Physics and Society · Physics 2013-07-15 Filippo Radicchi

The relationship of friends in social networks can be strong or weak. Some research works have shown that a close relationship between friends conducts good community structure. Based on this result, we propose an effective method in…

Social and Information Networks · Computer Science 2017-11-01 Xiaoping Fan , Zhijie Chen , Fei Cai , Jinsong Wu , Shengzong Liu , Zhining Liao , Zhifang Liao

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many algorithms have been developed to detect the communities in a network using connections…

Social and Information Networks · Computer Science 2015-01-21 Zhi Liu , Yan Huang

We propose a method for demonstrating sub community structure in scientific networks of relatively small size from analyzing databases of publications. Research relationships between the network members can be visualized as a graph with…

Social and Information Networks · Computer Science 2017-05-05 Steven B. Bradlow , Konstantinos Kapenekakis , Georgios Kydonakis , Xinwei Li , Jiarui Xu