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This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

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

Graph generative models are highly important for sharing surrogate data and benchmarking purposes. Real-world complex systems often exhibit dynamic nature, where the interactions among nodes change over time in the form of a temporal…

Social and Information Networks · Computer Science 2023-06-21 Penghang Liu , A. Erdem Sarıyüce

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Many complex real-world systems exhibit inherently intertwined temporal and spatial characteristics. Spatio-temporal knowledge graphs (STKGs) have therefore emerged as a powerful representation paradigm, as they integrate entities,…

Social and Information Networks · Computer Science 2025-12-19 Philipp Plamper , Hanna Köpcke , Anika Groß

Temporal network data are increasingly available in various domains, and often represent highly complex systems with intricate structural and temporal evolutions. Due to the difficulty of processing such complex data, it may be useful to…

Physics and Society · Physics 2023-05-08 Chanon Thongprayoon , Lorenzo Livi , Naoki Masuda

A temporal graph is a graph whose edges appear only at certain points in time. Recently, the second and the last three authors proposed a natural temporal analog of the Erd\H{o}s-R\'enyi random graph model. The proposed model is obtained by…

Discrete Mathematics · Computer Science 2023-08-21 Ruben Becker , Arnaud Casteigts , Pierluigi Crescenzi , Bojana Kodric , Malte Renken , Michael Raskin , Viktor Zamaraev

Networks are a fundamental and flexible way of representing various complex systems. Many domains such as communication, citation, procurement, biology, social media, and transportation can be modeled as a set of entities and their…

Social and Information Networks · Computer Science 2020-08-07 Sumit Purohit , Lawrence B. Holder , George Chin

Graphs are ubiquitous in nature and can therefore serve as models for many practical but also theoretical problems. For this purpose, they can be defined as many different types which suitably reflect the individual contexts of the…

Machine Learning · Computer Science 2023-04-27 Josephine M. Thomas , Alice Moallemy-Oureh , Silvia Beddar-Wiesing , Clara Holzhüter

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

From social networks to Internet applications, a wide variety of electronic communication tools are producing streams of graph data; where the nodes represent users and the edges represent the contacts between them over time. This has led…

Social and Information Networks · Computer Science 2014-03-18 Nesreen K. Ahmed , Christopher Cole , Jennifer Neville

We introduce a general framework for leveraging graph stream data for temporal prediction-based applications. Our proposed framework includes novel methods for learning an appropriate graph time-series representation, modeling and weighting…

Machine Learning · Computer Science 2020-09-22 Di Jin , Sungchul Kim , Ryan A. Rossi , Danai Koutra

Export controls have become one of America's most prominent tools of economic statecraft. They aim to block rival countries' access to sensitive technologies, safeguard U.S. supply chains, protect national security, and shape geopolitical…

Information Retrieval · Computer Science 2025-10-28 Yunsen Lei , Kexin Bai , Quan Li , H. Howie Huang

The betweenness centrality of a graph vertex measures how often this vertex is visited on shortest paths between other vertices of the graph. In the analysis of many real-world graphs or networks, betweenness centrality of a vertex is used…

Data Structures and Algorithms · Computer Science 2024-05-15 Sebastian Buß , Hendrik Molter , Rolf Niedermeier , Maciej Rymar

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

Temporal graphs are a popular modelling mechanism for dynamic complex systems that extend ordinary graphs with discrete time. Simply put, time progresses one unit per step and the availability of edges can change with time. We consider the…

Logic in Computer Science · Computer Science 2024-01-30 Pete Austin , Sougata Bose , Patrick Totzke

Graph Coloring consists in assigning colors to vertices ensuring that two adjacent vertices do not have the same color. In dynamic graphs, this notion is not well defined, as we need to decide if different colors for adjacent vertices must…

Discrete Mathematics · Computer Science 2025-05-16 Allen Ibiapina , Minh Hang Nguyen , Mikaël Rabie , Cléophée Robin

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

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