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We consider the class of conditional graph patterns (\emph{CGPs}) that allow user to query data graphs with complex patterns that contain negation and predicates. To overcome the prohibitive cost of subgraph isomorphism, we consider…

Databases · Computer Science 2022-07-27 Houari Mahfoud

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

Machine Learning · Statistics 2016-07-13 Andreas Loukas , Nathanael Perraudin

Computing a (short) path between two vertices is one of the most fundamental primitives in graph algorithmics. In recent years, the study of paths in temporal graphs, that is, graphs where the vertex set is fixed but the edge set changes…

Discrete Mathematics · Computer Science 2021-05-27 Arnaud Casteigts , Anne-Sophie Himmel , Hendrik Molter , Philipp Zschoche

Modern graph representation learning works mostly under the assumption of dealing with regularly sampled temporal graph snapshots, which is far from realistic, e.g., social networks and physical systems are characterized by continuous…

Machine Learning · Computer Science 2024-09-11 Alessio Gravina , Daniele Zambon , Davide Bacciu , Cesare Alippi

Compared with static knowledge graphs, temporal knowledge graphs (tKG), which can capture the evolution and change of information over time, are more realistic and general. However, due to the complexity that the notion of time introduces…

Computation and Language · Computer Science 2025-04-07 Siheng Xiong , Yuan Yang , Faramarz Fekri , James Clayton Kerce

A temporal graph is a graph in which connections between vertices are active at specific times, and such temporal information leads to completely new patterns and knowledge that are not present in a non-temporal graph. In this paper, we…

Data Structures and Algorithms · Computer Science 2014-01-10 Silu Huang , James Cheng , Huanhuan Wu

Temporal graphs are graphs where the topology and/or other properties of the graph change with time. They have been used to model applications with temporal information in various domains. Problems on static graphs become more challenging…

Data Structures and Algorithms · Computer Science 2022-02-02 Subhrangsu Mandal , Arobinda Gupta

Interactions between two entities often occur at specific timestamps, which can be modeled as a temporal graph. Exploring the relationships between vertices based on temporal paths is one of the fundamental tasks. In this paper, we conduct…

Databases · Computer Science 2025-07-15 Zhiyang Tang , Yanping Wu , Xiangjun Zai , Chen Chen , Xiaoyang Wang , Ying Zhang

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

Temporal graphs are widely used to model dynamic systems with time-varying interactions. In real-world scenarios, the underlying mechanisms of generating future interactions in dynamic systems are typically governed by a set of recurring…

Machine Learning · Computer Science 2023-10-31 Jialin Chen , Rex Ying

As irregularly structured data representations, graphs have received a large amount of attention in recent years and have been widely applied to various real-world scenarios such as social, traffic, and energy settings. Compared to…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Yi Yan , Jiacheng Hou , Zhenjie Song , Ercan Engin Kuruoglu

In this paper, we analyze timed systems with data structures, using a rich interplay of logic and properties of graphs. We start by describing behaviors of timed systems using graphs with timing constraints. Such a graph is called…

Logic in Computer Science · Computer Science 2019-04-30 S. Akshay , Paul Gastin , Vincent Juge , Shankara Narayanan Krishna

Timed automata are a widely used formalism for specifying the discrete-state/continuous-time behavior of time-critical reactive systems. For the fundamental verification problem of comparing two timed automata, it has been shown that timed…

Formal Languages and Automata Theory · Computer Science 2026-04-01 Alexander Lieb , Hendrik Göttmann , Lars Luthmann , Malte Lochau , Andy Schürr

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

Temporal Graph Learning (TGL) has become a prevalent technique across diverse real-world applications, especially in domains where data can be represented as a graph and evolves over time. Although TGL has recently seen notable progress in…

Machine Learning · Computer Science 2024-02-27 Weilin Cong , Jian Kang , Hanghang Tong , Mehrdad Mahdavi

Graph Signal Processing (GSP) provides a powerful framework for analysing complex, interconnected systems by modelling data as signals on graphs. While recent advances have enabled graph topology learning from observed signals, existing…

Signal Processing · Electrical Eng. & Systems 2025-08-08 Alexander Jenkins , Thiernithi Variddhisai , Ahmed El-Medany , Fu Siong Ng , Danilo Mandic

Data dependencies have been extended to graphs to characterize topological and value constraints. Existing data dependencies are defined to capture inconsistencies in static graphs. Nevertheless, inconsistencies may occur over evolving…

Databases · Computer Science 2022-07-27 Morteza Alipourlangouri , Adam Mansfield , Fei Chiang , Yinghui Wu

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

Databases · Computer Science 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

In this work, we present a method for node embedding in temporal graphs. We propose an algorithm that learns the evolution of a temporal graph's nodes and edges over time and incorporates this dynamics in a temporal node embedding framework…

Machine Learning · Computer Science 2021-05-20 Uriel Singer , Ido Guy , Kira Radinsky

Graph Neural Networks have gained huge interest in the past few years. These powerful algorithms expanded deep learning models to non-Euclidean space and were able to achieve state of art performance in various applications including…

Machine Learning · Computer Science 2023-02-14 Zahraa Al Sahili , Mariette Awad