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Cohen–Macaulayness of two classes of circulant graphs

Hoang, D. T ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s10801-020-00943-6
  3. Publisher: Springer , 2020
  4. Abstract:
  5. Let n be a positive integer and let Sn be the set of all nonnegative integers less than n which are relatively prime to n. In this paper, we discuss structural properties of circulant graphs generated by the Sn′s and their complements. In particular, we characterize when these graphs are well-covered, Cohen–Macaulay, Buchsbaum or Gorenstein. © 2020, Springer Science+Business Media, LLC, part of Springer Nature
  6. Keywords:
  7. Buchsbaum graph ; Circulant graph ; Cohen–Macaulay graph ; F-Vector ; Gorenstein graph ; Well-covered graph
  8. Source: Journal of Algebraic Combinatorics ; 2020
  9. URL: https://link.springer.com/article/10.1007/s10801-020-00943-6