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Some bounds for the regularity of the edge ideals and their powers in a certain class of graphs

Ashitha, T ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1556/012.2023.04298
  3. Publisher: Akjournals , 2024
  4. Abstract:
  5. Let ≥ 2 be an integer. The graph Gn¯ is obtained by letting all the elements of {0, ..,-1} to be the vertices and defining distinct vertices and to be adjacent if and only if gcd( + , ) 1. In this paper, we give some bounds for the Castelnuovo-Mumford regularity of the edge ideals and their powers for Gn¯. © 2023 Akadémiai Kiadó, Budapest
  6. Keywords:
  7. Castelnuovo-Mumford regularity ; Cochordal graph ; Edge ideal ; Induced matching number
  8. Source: Studia Scientiarum Mathematicarum Hungarica ; Volume 60, Issue 4 , 2024 , Pages 237-248 ; 00816906 (ISSN)
  9. URL: https://akjournals.com/view/journals/012/60/4/article-p237.xml