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Betti numbers of edge ideals of grimaldi graphs and their complements

Ashitha, T ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1007/s40840-024-01731-2
  3. Publisher: 2024
  4. Abstract:
  5. Let n≥2 be an integer. The Grimaldi graph G(n) is defined by taking the elements of the set {0,…,n-1} as vertices. Two distinct vertices x and y are adjacent in G(n) if and only if gcd(x+y,n)=1. In this paper, we examine the Betti numbers of the edge ideals of these graphs and their complements. © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024
  6. Keywords:
  7. 05E45 ; 13H10 ; Betti number ; Edge ideal ; Primary 05C75 ; Projective dimension ; Regularity ; Secondary 05E40
  8. Source: Bulletin of the Malaysian Mathematical Sciences Society ; Volume 47, Issue 4 , 2024 ; 01266705 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s40840-024-01731-2