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The analysis of complex and time-evolving interactions like social dynamics represents a current challenge for the science of complex systems. Temporal networks stand as a suitable tool to schematise such systems, encoding all the appearing…

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

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

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

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

Finding the dense regions in a graph is an important problem in network analysis. Core decomposition and truss decomposition address this problem from two different perspectives. The former is a vertex-driven approach that assigns density…

Social and Information Networks · Computer Science 2020-11-03 Penghang Liu , A. Erdem Sarıyüce

Given a dynamic network, where edges appear and disappear over time, we are interested in finding sets of edges that have similar temporal behavior and form a dense subgraph. Formally, we define the problem as the enumeration of the maximal…

Social and Information Networks · Computer Science 2021-03-02 Giulia Preti , Polina Rozenshtein , Aristides Gionis , Yannis Velegrakis

Many real-world systems can be expressed in temporal networks with nodes playing far different roles in structure and function and edges representing the relationships between nodes. Identifying critical nodes can help us control the spread…

Social and Information Networks · Computer Science 2021-07-07 En-Yu Yu , Yan Fu , Jun-Lin Zhou , Hong-Liang Sun , Duan-Bing Chen

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

Querying cohesive subgraphs on temporal graphs with various time constraints has attracted intensive research interests recently. In this paper, we study a novel Temporal k-Core Query (TCQ) problem: given a time interval, find all distinct…

Databases · Computer Science 2023-03-21 Junyong Yang , Ming Zhong , Yuanyuan Zhu , Tieyun Qian , Mengchi Liu , Jeffrey Xu Yu

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

When analyzing temporal networks, a fundamental task is the identification of dense structures (i.e., groups of vertices that exhibit a large number of links), together with their temporal span (i.e., the period of time for which the high…

Social and Information Networks · Computer Science 2018-08-30 Edoardo Galimberti , Alain Barrat , Francesco Bonchi , Ciro Cattuto , Francesco Gullo

Real-time analysis of graphs containing temporal information, such as social media streams, Q&A networks, and cyber data sources, plays an important role in various applications. Among them, detecting patterns is one of the fundamental…

Databases · Computer Science 2023-12-19 Seunghwan Min , Jihoon Jang , Kunsoo Park , Dora Giammarresi , Giuseppe F. Italiano , Wook-Shin Han

Treewidth is arguably the most important structural graph parameter leading to algorithmically beneficial graph decompositions. Triggered by a strongly growing interest in temporal networks (graphs where edge sets change over time), we…

Data Structures and Algorithms · Computer Science 2020-04-29 Till Fluschnik , Hendrik Molter , Rolf Niedermeier , Malte Renken , Philipp Zschoche

Representation learning on static graph-structured data has shown a significant impact on many real-world applications. However, less attention has been paid to the evolving nature of temporal networks, in which the edges are often changing…

Machine Learning · Computer Science 2021-08-24 Jing Ma , Qiuchen Zhang , Jian Lou , Li Xiong , Joyce C. Ho

Temporal graphs provide a useful model for many real-world networks. Unfortunately the majority of algorithmic problems we might consider on such graphs are intractable. There has been recent progress in defining structural parameters which…

Discrete Mathematics · Computer Science 2024-11-20 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

Temporal graphs are graphs where the presence or properties of their vertices and edges change over time. When time is discrete, a temporal graph can be defined as a sequence of static graphs over a discrete time span, called lifetime, or…

Data Structures and Algorithms · Computer Science 2026-05-05 Binh-Minh Bui-Xuan , Florent Krasnopol , Bruno Monasson , Nathalie Sznajder

Spreading processes on graphs are a natural model for a wide variety of real-world phenomena, including information spread over social networks and biological diseases spreading over contact networks. Often, the networks over which these…

Data Structures and Algorithms · Computer Science 2021-02-12 Jessica Enright , Kitty Meeks , George B. Mertzios , Viktor Zamaraev

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters

Querying cohesive subgraphs in temporal graphs is essential for understanding the dynamic structure of real-world networks, such as evolving communities in social platforms, shifting hyperlink structures on the Web, and transient…

Databases · Computer Science 2025-08-22 Yinyu Liu , Kaiqiang Yu , Shengxin Liu , Cheng Long , Zhaoquan Gu