Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data

Urban mobility and geographical systems benefit significantly from a graph-based topology. To identify the network’s crucial zones in terms of connectivity or movement across the network, we implemented several centrality metrics on a particular type of spatial network, i.e., a Region Adjacency grap...

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Main Authors: Rafael Alejandro Martínez Márquez, Giuseppe Patanè
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Urban Science
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Online Access:https://www.mdpi.com/2413-8851/8/4/155
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author Rafael Alejandro Martínez Márquez
Giuseppe Patanè
author_facet Rafael Alejandro Martínez Márquez
Giuseppe Patanè
author_sort Rafael Alejandro Martínez Márquez
collection DOAJ
description Urban mobility and geographical systems benefit significantly from a graph-based topology. To identify the network’s crucial zones in terms of connectivity or movement across the network, we implemented several centrality metrics on a particular type of spatial network, i.e., a Region Adjacency graph, using three geographical regions of different sizes to exhibit the scalability of conventional metrics. To boost the topological analysis of a network with geographical data, we discuss the eigendata centrality and implement it for the largest of our Region Adjacency graphs using available geographical information. For flow prediction data-driven models, we discuss the Deep Gravity model and utilise either its geographical input data or predicted flow values to implement an additional node score through the Perron vector of the transition probability matrix. The results show that the topological analysis of a spatial network can be significantly enhanced by including regional and mobility data for graphs of different scales, connectivity, and orientation properties.
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spelling doaj-art-1f38e855e842499da0ef080c6f8b0e222024-12-27T14:57:21ZengMDPI AGUrban Science2413-88512024-09-018415510.3390/urbansci8040155Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and DataRafael Alejandro Martínez Márquez0Giuseppe Patanè1Istituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes”, Consiglio Nazionale delle Ricerche, 16149 Genova, ItalyIstituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes”, Consiglio Nazionale delle Ricerche, 16149 Genova, ItalyUrban mobility and geographical systems benefit significantly from a graph-based topology. To identify the network’s crucial zones in terms of connectivity or movement across the network, we implemented several centrality metrics on a particular type of spatial network, i.e., a Region Adjacency graph, using three geographical regions of different sizes to exhibit the scalability of conventional metrics. To boost the topological analysis of a network with geographical data, we discuss the eigendata centrality and implement it for the largest of our Region Adjacency graphs using available geographical information. For flow prediction data-driven models, we discuss the Deep Gravity model and utilise either its geographical input data or predicted flow values to implement an additional node score through the Perron vector of the transition probability matrix. The results show that the topological analysis of a spatial network can be significantly enhanced by including regional and mobility data for graphs of different scales, connectivity, and orientation properties.https://www.mdpi.com/2413-8851/8/4/155spatial networksnode centrality metricsLaplacian matricesPerron vectormobility flowsgeovisualisation
spellingShingle Rafael Alejandro Martínez Márquez
Giuseppe Patanè
Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
Urban Science
spatial networks
node centrality metrics
Laplacian matrices
Perron vector
mobility flows
geovisualisation
title Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
title_full Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
title_fullStr Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
title_full_unstemmed Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
title_short Graph Node Scoring for the Analysis and Visualisation of Mobility Networks and Data
title_sort graph node scoring for the analysis and visualisation of mobility networks and data
topic spatial networks
node centrality metrics
Laplacian matrices
Perron vector
mobility flows
geovisualisation
url https://www.mdpi.com/2413-8851/8/4/155
work_keys_str_mv AT rafaelalejandromartinezmarquez graphnodescoringfortheanalysisandvisualisationofmobilitynetworksanddata
AT giuseppepatane graphnodescoringfortheanalysisandvisualisationofmobilitynetworksanddata