Many Faces of Symmetric Edge Polytopes

D'Alì, Alessio; Delucchi, Emanuele; Michalek, Mateusz

Many Faces of Symmetric Edge Polytopes

Dateien

D'Ali_2-nasw3w7ear1k9.PDFGröße: 1.13 MBDownloads: 57

Datum

2022

Autor:innen

D'Alì, Alessio

Delucchi, Emanuele

Michalek, Mateusz

Open Access-Veröffentlichung

Open Access Gold

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

The Electronic Journal of Combinatorics. Herbert S. Wilf. 2022, 29(3), P3.24. ISSN 1097-1440. eISSN 1077-8926. Available under: doi: 10.37236/10387

Zusammenfassung

Symmetric 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.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

D'ALÌ, Alessio, Emanuele DELUCCHI, Mateusz MICHALEK, 2022. Many Faces of Symmetric Edge Polytopes. In: The Electronic Journal of Combinatorics. Herbert S. Wilf. 2022, 29(3), P3.24. ISSN 1097-1440. eISSN 1077-8926. Available under: doi: 10.37236/10387

BibTex

@article{DAli2022Faces-58344,
  year={2022},
  doi={10.37236/10387},
  title={Many Faces of Symmetric Edge Polytopes},
  number={3},
  volume={29},
  issn={1097-1440},
  journal={The Electronic Journal of Combinatorics},
  author={D'Alì, Alessio and Delucchi, Emanuele and Michalek, Mateusz},
  note={Article Number: P3.24}
}

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Universitätsbibliographie

Ja

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