Many faces of symmetric edge polytopes

DC ElementWertSprache
dc.contributor.authorD'Ali, Alessio
dc.contributor.authorDelucchi, Emanuele
dc.contributor.authorMichalek, Mateusz
dc.date.accessioned2023-02-17T11:36:34Z-
dc.date.available2023-02-17T11:36:34Z-
dc.date.issued2022
dc.identifier.issn1077-8926
dc.identifier.urihttp://osnascholar.ub.uni-osnabrueck.de/handle/unios/65593-
dc.description.abstractSymmetric edge polytopes are a class of lattice polytopes constructed from finite simple graphs. In the present paper we highlight their connections to the Kuramoto synchronization model in physics - where they are called adjacency polytopes - and to Kantorovich-Rubinstein polytopes from finite metric space theory. Each of these connections motivates the study of symmetric edge polytopes of particular classes of graphs. We focus on such classes and apply algebraic-combinatorial methods to investigate invariants of the associated symmetric edge polytopes.
dc.description.sponsorshipSwiss National Science Foundation [PP00P2_150552/1]; EPSRC [EP/R02300X/1]; MM would like to thank Piotr Pokora for pointing him to the article [14], which initiated our research and Hidefumi Ohsugi for the reference [48] containing many interesting results. We also acknowledge friendly e-mail exchange with Tianran Chen and Robert Davis. This project took shape in April 2019 at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany. AD and ED are grateful to the institute for the generous hospitality. ED was supported by the Swiss National Science Foundation professorship grant PP00P2_150552/1. AD was supported by the EPSRC grant EP/R02300X/1.
dc.language.isoen
dc.publisherELECTRONIC JOURNAL OF COMBINATORICS
dc.relation.ispartofELECTRONIC JOURNAL OF COMBINATORICS
dc.subjectJACKSON CLUSTER METHOD
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectPOINTS
dc.subjectPOLYNOMIALS
dc.titleMany faces of symmetric edge polytopes
dc.typejournal article
dc.identifier.doi10.37236/10387
dc.identifier.isiISI:000835330000001
dc.description.volume29
dc.description.issue3
dc.contributor.orcid0000-0002-6370-6583
dc.contributor.researcheridP-8363-2015
dc.publisher.placeC/O FELIX LAZEBNIK, RM 507, EWING HALL, UNIV DELAWARE, DEPT MATHEMATICAL SCIENCES, NEWARK, DE 19716 USA
dcterms.isPartOf.abbreviationElectron. J. Comb.
dcterms.oaStatusGreen Submitted, gold
local.import.remainsaffiliations : University of Warwick; University of Pisa; Max Planck Society; University of Konstanz; University Osnabruck
local.import.remainsweb-of-science-index : Science Citation Index Expanded (SCI-EXPANDED)
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