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Unitary Cayley graphs whose Roman domination numbers are at most four

Chin, A. Y. M ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1080/09728600.2022.2041365
  3. Publisher: Taylor and Francis Ltd , 2022
  4. Abstract:
  5. Let R be a finite commutative ring with nonzero identity. The unitary Cayley graph of R is the graph obtained by letting all the elements of R to be the vertices and defining distinct vertices x and y to be adjacent if and only if x–y is a unit element of R. In this paper, we characterize all unitary Cayley graphs with Roman domination number at most four. © 2022 The Author(s). Published with license by Taylor & Francis Group, LLC
  6. Keywords:
  7. Domination number ; Roman domination number ; Unitary Cayley graph
  8. Source: AKCE International Journal of Graphs and Combinatorics ; Volume 19, Issue 1 , 2022 , Pages 36-40 ; 09728600 (ISSN)
  9. URL: https://www.tandfonline.com/doi/full/10.1080/09728600.2022.2041365