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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

Querying cohesive subgraphs on temporal graphs (e.g., social network, finance network, etc.) with various conditions has attracted intensive research interests recently. In this paper, we study a novel Temporal $(k,\mathcal{X})$-Core Query…

Databases · Computer Science 2024-01-01 Ming Zhong , Junyong Yang , Yuanyuan Zhu , Tieyun Qian , Mengchi Liu , Jeffrey Xu Yu

We address the problem of enumerating all temporal k-cores given a query time range and a temporal graph, which suffers from poor efficiency and scalability in the state-of-the-art solution. Motivated by an existing concept called core…

Databases · Computer Science 2025-08-21 Zhuo Ma , Dong Wen , Hanchen Wang , Wentao Li , Wenjie Zhang , Xuemin Lin

Key graph-based problems play a central role in understanding network topology and uncovering patterns of similarity in homogeneous and temporal data. Such patterns can be revealed by analyzing communities formed by nodes, which in turn can…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-02 Davide Rucci , Emanuele Carlini , Patrizio Dazzi , Hanna Kavalionak , Matteo Mordacchini

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

While Transformers have revolutionized machine learning on various data, existing Transformers for temporal graphs face limitations in (1) restricted receptive fields, (2) overhead of subgraph extraction, and (3) suboptimal generalization…

Machine Learning · Computer Science 2024-12-03 Kay Liu , Jiahao Ding , MohamadAli Torkamani , Philip S. Yu

The \emph{maximal $k$-edge-connected subgraphs} problem is a classical graph clustering problem studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted graphs is known: a very straightforward…

Data Structures and Algorithms · Computer Science 2023-02-07 Chaitanya Nalam , Thatchaphol Saranurak

Graph analytics attract much attention from both research and industry communities. Due to the linear time complexity, the $k$-core decomposition is widely used in many real-world applications such as biology, social networks, community…

Databases · Computer Science 2022-01-19 Bin Guo , Emil Sekerinski

We study the temporal k-core component search (TCCS), which outputs the k-core containing the query vertex in the snapshot over an arbitrary query time window in a temporal graph. The problem has been shown to be critical for tasks such as…

Databases · Computer Science 2025-08-26 Zhuo Ma , Dong Wen , Kaiyu Chen , Yixiang Fang , Xuemin Lin , Wenjie Zhang

Temporal knowledge graph (TKG) reasoning aims to infer future facts at unseen timestamps from temporally evolving entities and relations. Despite recent progress, existing approaches still suffer from inherent limitations due to their…

Artificial Intelligence · Computer Science 2026-04-14 Shuai-Long Lei , Xiaobin Zhu , Jiarui Liang , Guoxi Sun , Zhiyu Fang , Xu-Cheng Yin

Many real world networks are considered temporal networks, in which the chronological ordering of the edges has importance to the meaning of the data. Performing temporal subgraph matching on such graphs requires the edges in the subgraphs…

Data Structures and Algorithms · Computer Science 2018-01-25 Patrick Mackey , Katherine Porterfield , Erin Fitzhenry , Sutanay Choudhury , George Chin

We study the Temporal Exploration problem, where an agent must visit all vertices of a temporal graph while traversing at most one available edge per time step. Unlike static graphs, which can be explored in linear time, temporal…

Data Structures and Algorithms · Computer Science 2026-05-18 Ivan Lahtin , Viktor Zamaraev

Decomposing a graph into a hierarchical structure via $k$-core analysis is a standard operation in any modern graph-mining toolkit. $k$-core decomposition is a simple and efficient method that allows to analyze a graph beyond its mere…

Data Structures and Algorithms · Computer Science 2020-01-16 Nikolaj Tatti

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…

Data Structures and Algorithms · Computer Science 2020-12-09 Edoardo Galimberti , Martino Ciaperoni , Alain Barrat , Francesco Bonchi , Ciro Cattuto , Francesco Gullo

Graph representation learning is a fundamental task in various applications that strives to learn low-dimensional embeddings for nodes that can preserve graph topology information. However, many existing methods focus on static graphs while…

Machine Learning · Computer Science 2020-11-09 Jingxin Liu , Chang Xu , Chang Yin , Weiqiang Wu , You Song

Temporal graphs have been recently introduced to model changes to a given network that occur throughout a fixed period of time. The Temporal $\Delta$ Clique problem, that generalizes the well known Clique problem to temporal graphs, has…

Data Structures and Algorithms · Computer Science 2022-10-14 Danny Hermelin , Yuval Itzhaki , Hendrik Molter , Rolf Niedermeier

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

Driven by many applications in graph analytics, the problem of computing $k$-edge connected components ($k$-ECCs) of a graph $G$ for a user-given $k$ has been extensively studied recently. In this paper, we investigate the problem of…

Data Structures and Algorithms · Computer Science 2017-11-29 Lijun Chang

Temporal graphs are structures which model relational data between entities that change over time. Due to the complex structure of data, mining statistically significant temporal subgraphs, also known as temporal motifs, is a challenging…

Social and Information Networks · Computer Science 2021-10-05 Antonio Longa , Giulia Cencetti , Bruno Lepri , Andrea Passerini

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

Data Structures and Algorithms · Computer Science 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun
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