Author, as appears in the article.: Morer, Ignacio; Cardillo, Alessio; Diaz-Guilera, Albert; Prignano, Luce; Lozano, Sergi;
Department: Enginyeria Informàtica i Matemàtiques Història i Història de l'Art
URV's Author/s: Cardillo, Alessio Vincenzo / Lozano Pérez, Sergio
Keywords: Mobility
Abstract: Spatial networks are a powerful framework for studying a large variety of systems belonging to a broad diversity of contexts: from transportation to biology, from epidemiology to communications, and migrations, to cite a few. Spatial networks can be described in terms of their total cost (i.e., the total amount of resources needed for building or traveling their connections). Here, we address the issue of how to gauge and compare the quality of spatial network designs (i.e., efficiency vs. total cost) by proposing a two-step methodology. First, we assess the network's design by introducing a quality function based on the concept of network's efficiency. Second, we propose an algorithm to estimate computationally the upper bound of our quality function for a given network. Complementarily, we provide a universal expression to obtain an approximated upper bound to any spatial network, regardless of its size. Smaller differences between the upper bound and the empirical value correspond to better designs. Finally, we test the applicability of this analytic tool set on spatial network data-sets of different nature.
Thematic Areas: Zootecnia / recursos pesqueiros Statistics and probability Statistical and nonlinear physics Saúde coletiva Química Physics, mathematical Physics, fluids & plasmas Odontología Medicina ii Medicina i Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General medicine Farmacia Engenharias iv Engenharias iii Engenharias ii Educação física Educação Economia Condensed matter physics Ciências biológicas ii Ciências biológicas i Ciências ambientais Ciências agrárias i Ciência da computação Biotecnología Biodiversidade Astronomia / física
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: sergio.lozano@urv.cat
Author identifier: 0000-0003-1895-9327
Record's date: 2023-02-19
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.042301
Papper original source: Physical Review e. 101 (4):
APA: Morer, Ignacio; Cardillo, Alessio; Diaz-Guilera, Albert; Prignano, Luce; Lozano, Sergi; (2020). Comparing spatial networks: A one-size-fits-all efficiency-driven approach. Physical Review e, 101(4), -. DOI: 10.1103/PhysRevE.101.042301
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.1103/PhysRevE.101.042301
Entity: Universitat Rovira i Virgili
Journal publication year: 2020
Publication Type: Journal Publications