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A highly successful approach to route planning in networks (particularly road networks) is to identify a hierarchy in the network that allows faster queries after some preprocessing that basically inserts additional "shortcut"-edges into a…

Data Structures and Algorithms · Computer Science 2019-09-11 Demian Hespe , Peter Sanders

Network design problems have been studied from the 1950s, as they can be used in a wide range of real-world applications, e.g., design of communication and transportation networks. In classical network design problems, the objective is to…

Optimization and Control · Mathematics 2025-06-26 Ugo Rosolia , Marc Bataillou Almagro , George Iosifidis , Martin Gross , Georgios Paschos

Which one is better between two representative graph summarization models with and without edge weights? From web graphs to online social networks, large graphs are everywhere. Graph summarization, which is an effective graph compression…

Databases · Computer Science 2022-05-09 Shinhwan Kang , Kyuhan Lee , Kijung Shin

Traffic flow forecasting is a highly challenging task due to the dynamic spatial-temporal road conditions. Graph neural networks (GNN) has been widely applied in this task. However, most of these GNNs ignore the effects of time-varying road…

Machine Learning · Computer Science 2023-07-13 Zhengdao Li , Wei Li , Kai Hwang

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

Statistical Mechanics · Physics 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

Modelling spatio-temporal processes on road networks is a task of growing importance. While significant progress has been made on developing spatio-temporal graph neural networks (Gnns), existing works are built upon three assumptions that…

Machine Learning · Computer Science 2023-06-16 Mridul Gupta , Hariprasad Kodamana , Sayan Ranu

The identification of important nodes with strong propagation capabilities in road networks is a vital topic in urban planning. Existing methods for evaluating the importance of nodes in traffic networks only consider topological…

Machine Learning · Computer Science 2024-05-21 Ming Xu , Jing Zhang

Given a network represented by a weighted directed graph G, we consider the problem of finding a bounded cost set of nodes S such that the influence spreading from S in G, within a given time bound, is as large as possible. The dynamic that…

Social and Information Networks · Computer Science 2015-02-23 Ferdinando Cicalese , Gennaro Cordasco , Luisa Gargano , Martin Milanic , Joseph Peters , Ugo Vaccaro

Effective traffic prediction is a cornerstone of intelligent transportation systems, enabling precise forecasts of traffic flow, speed, and congestion. While traditional spatio-temporal graph neural networks (ST-GNNs) have achieved notable…

Machine Learning · Computer Science 2025-01-20 Xiaoyang Cao , Dingyi Zhuang , Jinhua Zhao , Shenhao Wang

A large number of real-world networks include multiple types of nodes and edges. Graph Neural Network (GNN) emerged as a deep learning framework to generate node and graph embeddings for downstream machine learning tasks. However, popular…

Machine Learning · Computer Science 2024-11-26 Ziynet Nesibe Kesimoglu , Serdar Bozdag

The rapid urbanization and increasing traffic have serious social, economic, and environmental impact on metropolitan areas worldwide. It is of a great importance to understand the complex interplay of road networks and traffic conditions.…

Other Computer Science · Computer Science 2018-10-31 Weizi Li , Meilei Jiang , Yaoyu Chen , Ming C. Lin

We consider network design problems for information networks where routers can replicate data but cannot alter it. This functionality allows the network to eliminate data-redundancy in traffic, thereby saving on routing costs. We consider…

Data Structures and Algorithms · Computer Science 2011-10-20 Siddharth Barman , Shuchi Chawla

In the highway problem, we are given an n-edge line graph (the highway), and a set of paths (the drivers), each one with its own budget. For a given assignment of edge weights (the tolls), the highway owner collects from each driver the…

Data Structures and Algorithms · Computer Science 2010-04-20 Fabrizio Grandoni , Thomas Rothvoss

Given a large graph with few node labels, how can we (a) identify whether there is generalized network-effects (GNE) or not, (b) estimate GNE to explain the interrelations among node classes, and (c) exploit GNE efficiently to improve the…

Social and Information Networks · Computer Science 2024-02-13 Meng-Chieh Lee , Shubhranshu Shekhar , Jaemin Yoo , Christos Faloutsos

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

Physics and Society · Physics 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

A heavy path in a weighted graph represents a notion of connectivity and ordering that goes beyond two nodes. The heaviest path of length l in the graph, simply means a sequence of nodes with edges between them, such that the sum of edge…

Data Structures and Algorithms · Computer Science 2015-12-15 Mohammad Khabbaz

Spectral graph convolutional neural networks (GCNNs) have been producing encouraging results in graph classification tasks. However, most spectral GCNNs utilize fixed graphs when aggregating node features, while omitting edge feature…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Yang Yi , Xuequan Lu , Shang Gao , Antonio Robles-Kelly , Yuejie Zhang

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Graph attention networks (GATs) are widely used and often appear robust to noise in node covariates and edges, yet rigorous statistical guarantees demonstrating a provable advantage of GATs over non-attention graph neural networks~(GNNs)…

Machine Learning · Statistics 2026-02-02 Somak Laha , Suqi Liu , Morgane Austern

This paper presents a contextualized graph attention network that combines edge features and multiple sub-graphs for improving relation extraction. A novel method is proposed to use multiple sub-graphs to learn rich node representations in…

Computation and Language · Computer Science 2020-04-23 Angrosh Mandya , Danushka Bollegala , Frans Coenen