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We consider a variant of the densest subgraph problem in networks with single or multiple edge attributes. For example, in a social network, the edge attributes may describe the type of relationship between users, such as friends, family,…

Social and Information Networks · Computer Science 2024-02-15 Lutz Oettershagen , Honglian Wang , Aristides Gionis

Dense subgraph discovery is a fundamental primitive in graph and hypergraph analysis which among other applications has been used for real-time story detection on social media and improving access to data stores of social networking…

Data Structures and Algorithms · Computer Science 2024-02-23 Yufan Huang , David F. Gleich , Nate Veldt

Power law degree distribution was shown in many complex networks. However, in most real systems, deviation from power-law behavior is observed in social and economical networks and emergence of giant hubs is obvious in real network…

Physics and Society · Physics 2013-01-22 A. H. Shirazi , A. Namaki , A. A. Roohi , G. R. Jafari

Nowadays, social media plays an important role in many fields, such as the promotion of measures against major infectious diseases, merchandising, etc. In social media, some people are known as opinion leaders due to their strong ability to…

Social and Information Networks · Computer Science 2023-05-16 Yunming Hui , Luuk Buijsman , Mel Chekol , Shihan Wang

Centrality metrics have been widely applied to identify the nodes in a graph whose removal is effective in decomposing the graph into smaller sub-components. The node--removal process is generally used to test network robustness against…

Social and Information Networks · Computer Science 2022-04-25 Lucia Cavallaro , Stefania Costantini , Pasquale De Meo , Antonio Liotta , Giovanni Stilo

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

Given a graph, the densest subgraph problem asks for a set of vertices such that the average degree among these vertices is maximized. Densest subgraph has numerous applications in learning, e.g., community detection in social networks,…

Cryptography and Security · Computer Science 2022-11-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Elaine Shi

Massive network exploration is an important research direction with many applications. In such a setting, the network is, usually, modeled as a graph $G$, whereas any structural information of interest is extracted by inspecting the way…

Data Structures and Algorithms · Computer Science 2017-12-11 Panagiotis Strouthopoulos , Apostolos Papadopoulos

The ability to share social network data at the level of individual connections is beneficial to science: not only for reproducing results, but also for researchers who may wish to use it for purposes not foreseen by the data releaser.…

Social and Information Networks · Computer Science 2020-09-22 Daniele Romanini , Sune Lehmann , Mikko Kivelä

With the proliferation of mobile technology and IT development, people can use social network services at any place and anytime. Among many social network mining problems, identifying cohesive subgraphs attract many attentions from…

Social and Information Networks · Computer Science 2023-04-05 Junghoon Kim , Sungsu Lim , Jungeun Kim

Link prediction is one of the fundamental problems in social network analysis. A common set of techniques for link prediction rely on similarity metrics which use the topology of the observed subnetwork to quantify the likelihood of…

Artificial Intelligence · Computer Science 2019-09-05 Kai Zhou , Tomasz P. Michalak , Yevgeniy Vorobeychik

Closeness is a global measure of centrality in networks, and a proxy for how influential actors are in social networks. In most network models, and many empirical networks, closeness is strongly correlated with degree. However, in social…

Physics and Society · Physics 2009-09-10 Petter Holme , Gourab Ghoshal

With the prevalence of graphs for modeling complex relationships among objects, the topic of graph mining has attracted a great deal of attention from both academic and industrial communities in recent years. As one of the most fundamental…

Social and Information Networks · Computer Science 2026-04-21 Wensheng Luo , Chenhao Ma , Yixiang Fang , Laks V. S. Lakshmanan

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

The popularity of online social media platforms provides an unprecedented opportunity to study real-world complex networks of interactions. However, releasing this data to researchers and the public comes at the cost of potentially exposing…

Cryptography and Security · Computer Science 2015-03-24 Luca Rossi , Mirco Musolesi , Andrea Torsello

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

Subgraph isomorphism is a well-known NP-hard problem which is widely used in many applications, such as social network analysis and knowledge graph query. Its performance is often limited by the inherent hardness. Several insightful works…

Databases · Computer Science 2021-04-21 Li Zeng , Yan Jiang , Weixin Lu , Lei Zou

Network detection is an important capability in many areas of applied research in which data can be represented as a graph of entities and relationships. Oftentimes the object of interest is a relatively small subgraph in an enormous,…

Social and Information Networks · Computer Science 2018-04-12 Steven T. Smith , Kenneth D. Senne , Scott Philips , Edward K. Kao , Garrett Bernstein

We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Node copying is an important mechanism for network formation, yet most models assume uniform copying rules. Motivated by observations of heterogeneous triadic closure in real networks, we introduce the concept of a hidden network model - a…

Physics and Society · Physics 2021-07-27 Max Falkenberg