A balanced non-partitionable cohen-macaulay complex
| Autor(en): | Juhnke-Kubitzke, M. Venturello, L. |
Stichwörter: | Balancedness; Cohen-Macaulay; Partitionability; Simplicial complex | Erscheinungsdatum: | 2019 | Herausgeber: | Centre Mersenne | Journal: | Algebraic Combinatorics | Volumen: | 2 | Ausgabe: | 6 | Startseite: | 1149 | Seitenende: | 1157 | Zusammenfassung: | In a recent article, Duval, Goeckner, Klivans and Martin disproved the longstanding conjecture by Stanley, that every Cohen-Macaulay simplicial complex is partitionable. We construct counterexamples to this conjecture that are even balanced, i.e. their underlying graph has a minimal coloring. This answers a question by Duval et al. in the negative. © 2021 Academic Publishing House. All rights reserved. |
ISSN: | 25895486 | DOI: | 10.5802/alco.78 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107573857&doi=10.5802%2falco.78&partnerID=40&md5=4c0619fe6aa5a960dc3f6e2dd255fca3 |
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