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Temporal graphs represent graph evolution over time, and have been receiving considerable research attention. Work on expressing temporal graph patterns or discovering temporal motifs typically assumes relatively simple temporal…

Databases · Computer Science 2022-05-31 Amir Pouya Aghasadeghi , Jan Van den Bussche , Julia Stoyanovich

We define the crossing graph of a given embedded graph (such as a road network) to be a graph with a vertex for each edge of the embedding, with two crossing graph vertices adjacent when the corresponding two edges of the embedding cross…

Data Structures and Algorithms · Computer Science 2017-09-20 David Eppstein , Siddharth Gupta

Word-representable graphs are a subset of graphs that may be represented by a word $w$ over an alphabet composed of the vertices in the graph. In such graphs, an edge exists if and only if the occurrences of the corresponding vertices…

Data Structures and Algorithms · Computer Science 2025-02-12 Duncan Adamson

A spanner graph on a set of points in $R^d$ contains a shortest path between any pair of points with length at most a constant factor of their Euclidean distance. In this paper we investigate new models and aim to interpret why good…

Computational Geometry · Computer Science 2015-05-13 Jie Gao , Dengpan Zhou

Structure of real networked systems, such as social relationship, can be modeled as temporal networks in which each edge appears only at the prescribed time. Understanding the structure of temporal networks requires quantifying the…

Physics and Society · Physics 2016-02-17 Taro Takaguchi , Yosuke Yano , Yuichi Yoshida

Temporal graphs are graphs where the edge set can change in each time step, and the vertex set stays the same. Exploration of temporal graphs whose snapshot in each time step is a connected graph, called connected temporal graphs, has been…

Data Structures and Algorithms · Computer Science 2024-07-19 Konstantinos Dogeas , Thomas Erlebach , Frank Kammer , Johannes Meintrup , William K. Moses

Temporal graphs arise when modeling interactions that evolve over time. They usually come in several flavors, depending on the number of parameters used to describe the temporal aspects of the interactions: time of appearance, duration,…

Data Structures and Algorithms · Computer Science 2026-01-26 Guillaume Aubian , Filippo Brunelli , Feodor F Dragan , Guillaume Ducoffe , Michel Habib , Allen Ibiapina , Laurent Viennot

Stream graphs are a very useful mode of representation for temporal network data, whose richness offers a wide range of possible approaches. The various methods aimed at generalising the classical approaches applied to static networks are…

Social and Information Networks · Computer Science 2021-04-14 Mehdi Djellabi , Bertrand Jouve

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

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

A temporal graph ${\cal G}$ is a graph that changes with time. More specifically, it is a pair $(G, \lambda)$ where $G$ is a graph and $\lambda$ is a function on the edges of $G$ that describes when each edge $e\in E(G)$ is active. Given…

Combinatorics · Mathematics 2022-08-16 Allen Ibiapina , Ana Silva

We introduce a novel approach for temporal activity segmentation with timestamp supervision. Our main contribution is a graph convolutional network, which is learned in an end-to-end manner to exploit both frame features and connections…

Computer Vision and Pattern Recognition · Computer Science 2022-08-03 Hamza Khan , Sanjay Haresh , Awais Ahmed , Shakeeb Siddiqui , Andrey Konin , M. Zeeshan Zia , Quoc-Huy Tran

An important characteristic of temporal graphs is how the directed arrow of time influences their causal topology, i.e., which nodes can possibly influence each other causally via time-respecting paths. The resulting patterns are often…

Machine Learning · Computer Science 2026-05-19 Franziska Heeg , Jonas Sauer , Petra Mutzel , Ingo Scholtes

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

Graph Neural Networks (GNNs) have shown their great ability in modeling graph structured data. However, real-world graphs usually contain structure noises and have limited labeled nodes. The performance of GNNs would drop significantly when…

Machine Learning · Computer Science 2022-07-26 Enyan Dai , Wei Jin , Hui Liu , Suhang Wang

We introduce a framework for the modeling of sequential data capturing pathways of varying lengths observed in a network. Such data are important, e.g., when studying click streams in information networks, travel patterns in transportation…

Social and Information Networks · Computer Science 2017-11-20 Ingo Scholtes

Graphs offer a generic abstraction for modeling entities, and the interactions and relationships between them. Most real world graphs, such as social and cooperation networks evolve over time, and exploring their evolution may reveal…

Social and Information Networks · Computer Science 2023-11-09 Evangelia Tsoukanara , Georgia Koloniari , Evaggelia Pitoura

This article proposes methods to model nonstationary temporal graph processes. This corresponds to modelling the observation of edge variables (relationships between objects) indicating interactions between pairs of nodes (or objects)…

Methodology · Statistics 2022-07-07 Maria Suveges , Sofia C. Olhede

Consider planning a trip in a train network. In contrast to, say, a road network, the edges are temporal, i.e., they are only available at certain times. Another important difficulty is that trains, unfortunately, sometimes get delayed.…

Data Structures and Algorithms · Computer Science 2022-01-14 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

Numerous complex systems, such as those arisen in ecological networks, genomic contact networks, and social networks, exhibit higher-order and time-varying characteristics, which can be effectively modeled using temporal hypergraphs.…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Anqi Dong , Xin Mao , Can Chen
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