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dc.contributor.authorFerrer Cancho, Ramon
dc.contributor.authorGómez Rodríguez, Carlos
dc.contributor.authorEsteban Ángeles, Juan Luis
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Ciències de la Computació
dc.identifier.citationFerrer-i-Cancho, R.; Gómez-Rodríguez, C.; Esteban, J.L. Bounds of the sum of edge lengths in linear arrangements of trees. "Journal of statistical mechanics: Theory and experiment", 11 Febrer 2021, vol. 2021, article 023403, p. 1-44.
dc.description.abstractA fundamental problem in network science is the normalization of the topological or physical distance between vertices, which requires understanding the range of variation of the unnormalized distances. Here we investigate the limits of the variation of the physical distance in linear arrangements of the vertices of trees. In particular, we investigate various problems of the sum of edge lengths in trees of a fixed size: the minimum and the maximum value of the sum for specific trees, the minimum and the maximum in classes of trees (bistar trees and caterpillar trees) and finally the minimum and the maximum for any tree. We establish some foundations for research on optimality scores for spatial networks in one dimension.
dc.description.sponsorshipRFC is supported by the grant TIN2017-89244-R from MINECO (Ministerio de Economía, Industria y Competitividad) and the recognition 2017SGR-856 (MACDA) from AGAUR (Generalitat de Catalunya). CGR is funded by the European Research Council (ERC), under the European Union’s Horizon 2020 research and innovation programme (FASTPARSE, grant agreement No 714150), the ANSWER-ASAP project (TIN2017-85160-C2-1-R) from MINECO and Xunta de Galicia (ED431C 2020/11, ED431G2019/01, and an Oportunius program grant to complement ERC grants). JLE is funded by the grants TIN2016-76573-C2-1-P and PID2019-109137GB-C22 from MINECO.
dc.format.extent44 p.
dc.publisherInstitute of Physics (IOP)
dc.subjectÀrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat
dc.subject.lcshGraph theory
dc.subject.lcshTrees (Graph theory)
dc.titleBounds of the sum of edge lengths in linear arrangements of trees
dc.subject.lemacGrafs, Teoria de
dc.subject.lemacArbres (Teoria de grafs)
dc.contributor.groupUniversitat Politècnica de Catalunya. LARCA - Laboratori d'Algorísmia Relacional, Complexitat i Aprenentatge
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/AGAUR/2017 SGR 856
local.citation.authorFerrer-i-Cancho, R.; Gómez-Rodríguez, C.; Esteban, J. L.
local.citation.publicationNameJournal of statistical mechanics: Theory and experiment
local.citation.numberarticle 023403

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