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Finding the dense regions of a graph and relations among them is a fundamental problem in network analysis. Core and truss decompositions reveal dense subgraphs with hierarchical relations. The incremental nature of algorithms for computing…

Social and Information Networks · Computer Science 2018-09-17 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar

Truss decomposition is a method used to analyze large sparse graphs in order to identify successively better connected subgraphs. Since in many domains the underlying graph changes over time, its associated truss decomposition needs to be…

Social and Information Networks · Computer Science 2019-08-29 Venkata Rohit Jakkula , George Karypis

A temporal network is a dynamic graph where every edge is assigned an integer time label that indicates at which discrete time step the edge is available. We consider the problem of hierarchically decomposing the network and introduce an…

Social and Information Networks · Computer Science 2024-11-14 Lutz Oettershagen , Athanasios L. Konstantinidis , Giuseppe F. Italiano

Massive networks have shown that the determination of dense subgraphs, where vertices interact a lot, is necessary in order to visualize groups of common interest, and therefore be able to decompose a big graph into smaller structures. Many…

Social and Information Networks · Computer Science 2016-04-29 Etienne Callies , Tomás Yany-Anich

Complex networks are a powerful paradigm to model complex systems. Specific network models, e.g., multilayer networks, temporal networks, and signed networks, enrich the standard network representation with additional information to better…

Data Structures and Algorithms · Computer Science 2019-06-05 Edoardo Galimberti

Networks are ubiquitous in various fields, representing systems where nodes and their interconnections constitute their intricate structures. We introduce a network decomposition scheme to reveal multiscale core-periphery structures lurking…

Physics and Society · Physics 2025-05-13 Wonhee Jeong , Unjong Yu , Sang Hoon Lee

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

Detecting anomalous edges in dynamic graphs is an important task in many applications over evolving triple-based data, such as social networks, transaction management, and epidemiology. A major challenge with this task is the absence of…

Machine Learning · Computer Science 2025-05-14 Chang Zong , Yueting Zhuang , Jian Shao , Weiming Lu

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

Multilayer networks are a powerful paradigm to model complex systems, where multiple relations occur between the same entities. Despite the keen interest in a variety of tasks, algorithms, and analyses in this type of network, the problem…

Data Structures and Algorithms · Computer Science 2019-11-18 Edoardo Galimberti , Francesco Bonchi , Francesco Gullo , Tommaso Lanciano

Recently, graph anomaly detection on attributed networks has attracted growing attention in data mining and machine learning communities. Apart from attribute anomalies, graph anomaly detection also aims at suspicious topological-abnormal…

Machine Learning · Computer Science 2023-10-03 Jingcan Duan , Bin Xiao , Siwei Wang , Haifang Zhou , Xinwang Liu

Humans recognize anomalies through two aspects: larger patch-wise representation discrepancies and weaker patch-to-normal-patch correlations. However, the previous AD methods didn't sufficiently combine the two complementary aspects to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Xincheng Yao , Ruoqi Li , Zefeng Qian , Yan Luo , Chongyang Zhang

The k-truss model is one of the most important models in cohesive subgraph analysis. The k-truss decomposition problem is to compute the trussness of each edge in a given graph, and has been extensively studied. However, the conventional…

Data Structures and Algorithms · Computer Science 2024-11-12 Chen Chen , Jingya Qian , Hui Luo , Yongye Li , Xiaoyang Wang

Detecting anomalies in dynamic graphs is a vital task, with numerous practical applications in areas such as security, finance, and social media. Previous network embedding based methods have been mostly focusing on learning good node…

Machine Learning · Computer Science 2020-05-26 Lei Cai , Zhengzhang Chen , Chen Luo , Jiaping Gui , Jingchao Ni , Ding Li , Haifeng Chen

We introduce several novel and computationally efficient methods for detecting "core--periphery structure" in networks. Core--periphery structure is a type of mesoscale structure that includes densely-connected core vertices and…

Discrete Mathematics · Computer Science 2016-11-08 Mihai Cucuringu , Puck Rombach , Sang Hoon Lee , Mason A. Porter

Uncovering anomalies in attributed networks has recently gained popularity due to its importance in unveiling outliers and flagging adversarial behavior in a gamut of data and network science applications including {the Internet of Things…

Social and Information Networks · Computer Science 2021-04-20 Konstantinos D. Polyzos , Costas Mavromatis , Vassilis N. Ioannidis , Georgios B. Giannakis

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

Core decomposition is an efficient building block for various graph analysis tasks such as dense subgraph discovery and identifying influential nodes. One crucial weakness of the core decomposition is its sensitivity to changes in the…

Social and Information Networks · Computer Science 2023-06-22 Jakir Hossain , Sucheta Soundarajan , Ahmet Erdem Sarıyüce

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

Dense subgraph discovery is an important primitive in graph mining, which has a wide variety of applications in diverse domains. In the densest subgraph problem, given an undirected graph $G=(V,E)$ with an edge-weight vector $w=(w_e)_{e\in…

Social and Information Networks · Computer Science 2021-10-27 Atsushi Miyauchi , Akiko Takeda
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