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Some Cohen-Macaulay graphs arising from finite commutative rings

Ashitha, T ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1142/S0219498823501293
  3. Publisher: World Scientific , 2022
  4. Abstract:
  5. For a given finite commutative ring R with 1a0, one may associate a graph which is called the total graph of R. This graph has R as the vertex set and its two distinct vertices x and y are adjacent exactly whenever x + y is a zero-divisor of R. In this paper, we give necessary and sufficient conditions for two classes of total graphs to be Cohen-Macaulay. © 2023 World Scientific Publishing Company
  6. Keywords:
  7. Cohen-Macaulay graph ; Finite commutative ring ; Maximal independent set ; Total graph ; Well-covered graph
  8. Source: Journal of Algebra and its Applications ; 2022 ; 02194988 (ISSN)
  9. URL: https://www.worldscientific.com/doi/10.1142/S0219498823501293