Matchings and squarefree powers of edge ideals

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Erey N., Herzog J., Hibi T., Saeedi Madani S.

Journal of Combinatorial Theory. Series A, cilt.188, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 188
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.jcta.2021.105585
  • Dergi Adı: Journal of Combinatorial Theory. Series A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Matchings, Edge ideals, Squarefree powers, MONOMIAL IDEALS, REGULARITY, BOUNDS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

© 2021Squarefree powers of edge ideals are intimately related to matchings of the underlying graph. In this paper, we give bounds for the regularity of squarefree powers of edge ideals, and we consider the question of when such powers are linearly related or have linear resolution. We also consider the so-called squarefree Ratliff property.