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Researchers, policy makers, and engineers need to make sense of data from spreading processes as diverse as rumor spreading in social networks, viral infections, and water contamination. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2026-01-08 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

Networking and Internet Architecture · Computer Science 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

Temporal graphs exhibit dynamic interactions between nodes over continuous time, whose topologies evolve with time elapsing. The whole temporal neighborhood of nodes reveals the varying preferences of nodes. However, previous works usually…

Machine Learning · Computer Science 2023-04-18 Tongya Zheng , Xinchao Wang , Zunlei Feng , Jie Song , Yunzhi Hao , Mingli Song , Xingen Wang , Xinyu Wang , Chun Chen

In train networks, carefully-chosen delays may be beneficial for certain passengers, who would otherwise miss some connection. Given a simple (directed or undirected) temporal graph and a set of passengers (each specifying a starting…

Data Structures and Algorithms · Computer Science 2025-04-11 David C. Kutner , Anouk Sommer

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

Temporal graphs are a class of graphs defined by a constant set of vertices and a changing set of edges, each of which is known as a timestep. These graphs are well motivated in modelling real-world networks, where connections may change…

Data Structures and Algorithms · Computer Science 2025-05-21 Duncan Adamson

Understanding the dynamics of financial transactions among people is critical for various applications such as fraud detection. One important aspect of financial transaction networks is temporality. The order and repetition of transactions…

Social and Information Networks · Computer Science 2025-07-14 Penghang Liu , Bahadir Altun , Rupam Acharyya , Robert E. Tillman , Shunya Kimura , Naoki Masuda , Ahmet Erdem Sarıyüce

We investigate the Minimum Eccentricity Shortest Path problem in some structured graph classes. It asks for a given graph to find a shortest path with minimum eccentricity. Although it is NP-hard in general graphs, we demonstrate that a…

Discrete Mathematics · Computer Science 2015-11-17 Feodor F. Dragan , Arne Leitert

Delaunay and Gabriel graphs are widely studied geometric proximity structures. Motivated by applications in wireless routing, relaxed versions of these graphs known as \emph{Locally Delaunay Graphs} ($LDGs$) and \emph{Locally Gabriel…

Computational Geometry · Computer Science 2012-07-03 Abhijeet Khopkar , Sathish Govindarajan

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

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…

Soft Random Geometric Graphs (SRGGs) have been widely applied to various models including those of wireless sensor, communication, social and neural networks. SRGGs are constructed by randomly placing nodes in some space and making pairwise…

Disordered Systems and Neural Networks · Physics 2018-12-05 Pete Pratt , Carl P. Dettmann , Woon Hau Chin

We introduce a temporal Steiner network problem in which a graph, as well as changes to its edges and/or vertices over a set of discrete times, are given as input; the goal is to find a minimal subgraph satisfying a set of $k$…

Computational Complexity · Computer Science 2017-09-04 Alex Khodaverdian , Benjamin Weitz , Jimmy Wu , Nir Yosef

Networks representing social, biological, technological or other systems are often characterized by higher-order interaction involving any number of nodes. Temporal hypergraphs are given by ordered sequences of hyperedges representing sets…

Physics and Society · Physics 2026-02-27 Jürgen Lerner , Marian-Gabriel Hâncean , Matjaz Perc

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

Exact pattern matching in labeled graphs is the problem of searching paths of a graph $G=(V,E)$ that spell the same string as the pattern $P[1..m]$. This basic problem can be found at the heart of more complex operations on variation graphs…

Computational Complexity · Computer Science 2020-06-04 Massimo Equi , Roberto Grossi , Veli Mäkinen

Graph Neural Networks (GNNs) have achieved remarkable performance in modeling graphs for various applications. However, most existing GNNs assume the graphs exhibit strong homophily in node labels, i.e., nodes with similar labels are…

Machine Learning · Computer Science 2023-02-20 Enyan Dai , Shijie Zhou , Zhimeng Guo , Suhang Wang

We show how to construct an overlay network of constant degree and diameter $O(\log n)$ in time $O(\log n)$ starting from an arbitrary weakly connected graph. We assume a synchronous communication network in which nodes can send messages to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Thorsten Götte , Kristian Hinnenthal , Christian Scheideler , Julian Werthmann

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

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano
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