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Related papers: Delay-Robust Routes in Temporal Graphs

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The problem of finding paths in temporal graphs has been recently considered due to its many applications. In this paper we consider a variant of the problem that, given a vertex-colored temporal graph, asks for a path whose vertices have…

Data Structures and Algorithms · Computer Science 2021-09-06 Riccardo Dondi , Mohammad Mehdi Hosseinzadeh

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

A temporal graph can be represented by a graph with an edge labelling, such that an edge is present in the network if and only if the edge is assigned the corresponding time label. A journey is a labelled path in a temporal graph such that…

Computational Complexity · Computer Science 2023-12-13 Esteban Christiann , Eric Sanlaville , Jason Schoeters

Dynamic Graph Neural Networks (DGNNs) have emerged as the predominant approach for processing dynamic graph-structured data. However, the influence of temporal information on model performance and robustness remains insufficiently explored,…

Machine Learning · Computer Science 2023-11-27 Xiangjian Jiang , Yanyi Pu

Pairwise temporal interactions between entities can be represented as temporal networks, which code the propagation of processes such as epidemic spreading or information cascades, evolving on top of them. The largest outcome of these…

Social and Information Networks · Computer Science 2023-07-12 Rémi Vaudaine , Pierre Borgnat , Paulo Goncalves , Rémi Gribonval , Márton Karsai

The growth of transportation networks and their increasing interconnections, although positive, has the downside effect of an increasing complexity which make them difficult to use, to assess, and limits their efficiency. On average in the…

Physics and Society · Physics 2014-11-06 Riccardo Gallotti , Marc Barthelemy

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

Data Structures and Algorithms · Computer Science 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

Investigating the frequency and distribution of small subgraphs with a few nodes/edges, i.e., motifs, is an effective analysis method for static networks. Motif-driven analysis is also useful for temporal networks where the spectrum of…

Social and Information Networks · Computer Science 2021-05-04 Penghang Liu , Valerio Guarrasi , A. Erdem Sarıyüce

In this article, we consider transport networks with uncertain demands. Network dynamics are given by linear hyperbolic partial differential equations and suitable coupling conditions, while demands are incorporated as solutions to…

Optimization and Control · Mathematics 2022-08-16 Simone Göttlich , Thomas Schillinger

{\em Algorithms with predictions} incorporate machine learning predictions into algorithm design. A plethora of recent works incorporated predictions to improve on worst-case optimal bounds for online problems. In this paper, we initiate…

Data Structures and Algorithms · Computer Science 2023-09-12 Monika Henzinger , Barna Saha , Martin P. Seybold , Christopher Ye

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

In recent years, various deep learning architectures have been proposed to solve complex challenges (e.g. spatial dependency, temporal dependency) in traffic domain, which have achieved satisfactory performance. These architectures are…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Jiexia Ye , Juanjuan Zhao , Kejiang Ye , Chengzhong Xu

Optimizing paths on networks is crucial for many applications, from subway traffic to Internet communication. As global path optimization that takes account of all path-choices simultaneously is computationally hard, most existing routing…

Physics and Society · Physics 2013-09-05 Chi Ho Yeung , David Saad , K. Y. Michael Wong

It is required to find an optimal order of constructing the edges of a network so as to minimize the sum of the weighted connection times of relevant pairs of vertices. Construction can be performed anytime anywhere in the network, with a…

Data Structures and Algorithms · Computer Science 2021-04-20 Igor Averbakh

Dynamic transportation networks have been analyzed for years by means of static graph-based indicators in order to study the temporal evolution of relevant network components, and to reveal complex dependencies that would not be easily…

Machine Learning · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani , Augusto Voltes-Dorta

Temporal graphs are graphs whose edges are labelled with times at which they are active. Their time-sensitivity provides a useful model of real networks, but renders many problems studied on temporal graphs more computationally complex than…

Discrete Mathematics · Computer Science 2026-04-28 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called `temporal networks'. Interpreting temporal networks as trajectories in graph space of a latent graph dynamics…

Physics and Society · Physics 2024-12-20 Annalisa Caligiuri , Tobias Galla , Lucas Lacasa

Temporal networks model a variety of important phenomena involving timed interactions between entities. Existing methods for machine learning on temporal networks generally exhibit at least one of two limitations. First, time is assumed to…

Machine Learning · Computer Science 2022-10-04 Sudhanshu Chanpuriya , Ryan A. Rossi , Sungchul Kim , Tong Yu , Jane Hoffswell , Nedim Lipka , Shunan Guo , Cameron Musco

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

We consider the model of a transportation problem with the objective of finding a minimum-cost transportation plan for shipping a given commodity from a set of supply centers to the customers. Since the exact values of supply and demand and…

Optimization and Control · Mathematics 2023-01-31 Elif Garajová , Miroslav Rada