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Temporal graphs are graphs with time-stamped edges. We study the problem of finding a small vertex set (the separator) with respect to two designated terminal vertices such that the removal of the set eliminates all temporal paths…

Data Structures and Algorithms · Computer Science 2018-07-26 Philipp Zschoche , Till Fluschnik , Hendrik Molter , Rolf Niedermeier

A graph is a structure composed of a set of vertices (i.e.nodes, dots) connected to one another by a set of edges (i.e.links, lines). The concept of a graph has been around since the late 19$^\text{th}$ century, however, only in recent…

Data Structures and Algorithms · Computer Science 2010-12-24 Marko A. Rodriguez , Peter Neubauer

What is a time-varying graph, a time-varying topological space, or, more generally, a mathematical structure that evolves over time? In this work, we lay the foundations for a general theory of temporal data by introducing categories of…

Category Theory · Mathematics 2026-04-22 Benjamin Merlin Bumpus , James Fairbanks , Martti Karvonen , Wilmer Leal , Frédéric Simard

Microservice architecture can be modeled as a network of microservices making calls to each other, commonly known as the service dependency graph. Network Science can provide methods to study such networks. In particular, temporal network…

Software Engineering · Computer Science 2025-08-18 Alexander Bakhtin

Temporal networks are commonly used to represent systems where connections between elements are active only for restricted periods of time, such as networks of telecommunication, neural signal processing, biochemical reactions and human…

Data Analysis, Statistics and Probability · Physics 2011-11-15 Lauri Kovanen , Márton Karsai , Kimmo Kaski , János Kertész , Jari Saramäki

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

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

In the data deluge context, pattern recognition or labeling in streams is becoming quite an essential and pressing task as data flows inside always bigger streams. The assessment of such tasks is not so easy when dealing with temporal data,…

Information Retrieval · Computer Science 2016-12-01 Pierre-François Marteau

The primary objective of graph pattern matching is to find all appearances of an input graph pattern query in a large data graph. Such appearances are called matches. In this paper, we are interested in finding matches of interaction…

Data Structures and Algorithms · Computer Science 2020-01-27 Konstantinos Semertzidis , Evaggelia Pitoura

In a temporal forest each edge has an associated set of time labels that specify the time instants in which the edges are available. A temporal path from vertex $u$ to vertex $v$ in the forest is a selection of a label for each edge in the…

Data Structures and Algorithms · Computer Science 2024-09-30 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti , Alessandro Straziota

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

Graph Neural Networks (GNNs) have become the leading paradigm for learning on (static) graph-structured data. However, many real-world systems are dynamic in nature, since the graph and node/edge attributes change over time. In recent…

This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general and applicable to a wide variety of time-varying graphs. For…

Computational Geometry · Computer Science 2023-08-15 Audun Myers , David Muñoz , Firas Khasawneh , Elizabeth Munch

A recently released Temporal Graph Benchmark is analyzed in the context of Dynamic Link Property Prediction. We outline our observations and propose a trivial optimization-free baseline of "recently popular nodes" outperforming other…

Information Retrieval · Computer Science 2023-12-11 Michał Daniluk , Jacek Dąbrowski

Temporal graph signals are multivariate time series with individual components associated with nodes of a fixed graph structure. Data of this kind arises in many domains including activity of social network users, sensor network readings…

Machine Learning · Computer Science 2021-06-28 Maxwell McNeil , Lin Zhang , Petko Bogdanov

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

Temporal link prediction, as one of the most crucial work in temporal graphs, has attracted lots of attention from the research area. The WSDM Cup 2022 seeks for solutions that predict the existence probabilities of edges within time spans…

Social and Information Networks · Computer Science 2022-03-04 Qian Zhao , Shuo Yang , Binbin Hu , Zhiqiang Zhang , Yakun Wang , Yusong Chen , Jun Zhou , Chuan Shi

Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

Machine Learning · Computer Science 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

In temporal ( event-based ) networks, time is a continuous axis, with real-valued time coordinates for each node and edge. Computing a layout for such graphs means embedding the node trajectories and edge surfaces over time in a 2D+t space,…

Human-Computer Interaction · Computer Science 2024-12-13 Velitchko Filipov , Davide Ceneda , Daniel Archambault , Alessio Arleo

Time series and signals are attracting more attention across statistics, machine learning and pattern recognition as it appears widely in the industry especially in sensor and IoT related research and applications, but few advances has been…

Machine Learning · Computer Science 2018-08-15 Lu Liu , Zhiguang Wang
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