Volume entropy, systole and stable norm on graphs

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dc.creatorBalacheff, Florent
dc.date2004-11-25
dc.date2005-02-22
dc.date.accessioned2026-07-07T08:45:07Z
dc.date.available2026-07-07T08:45:07Z
dc.descriptionWe study some new isoperimetric inequalities on graphs. We etablish a relation between the volume entropy (or asymptotic volume), the systole and the first Betti number of weighted graphs. We also find bounds for the volume, associated to some special measure, of the unit ball for the stable norm of graphs.
dc.identifierhttps://arxiv.org/abs/math/0411578
dc.identifierhttp://arxiv.org/abs/math/0411578
dc.identifierJournal of Graph Theory 55, 4 (2007) 291-305
dc.identifierdoi:10.1002/jgt.20236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142877
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject05C35, 37B10
dc.titleVolume entropy, systole and stable norm on graphs
dc.typetext

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