Unitary Cayley graphs whose Roman domination numbers are at most four
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 unit...
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2022
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my.um.eprints.429772024-11-27T02:59:54Z http://eprints.um.edu.my/42977/ Unitary Cayley graphs whose Roman domination numbers are at most four Chin, Angelina Yan Mui Maimani, H. R. Pournaki, M. R. Sivagami, M. Tamizh Chelvam, T. QA Mathematics 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. Taylor & Francis Ltd 2022-03-18 Article PeerReviewed Chin, Angelina Yan Mui and Maimani, H. R. and Pournaki, M. R. and Sivagami, M. and Tamizh Chelvam, T. (2022) Unitary Cayley graphs whose Roman domination numbers are at most four. AKCE International Journal of Graphs and Combinatorics, 19 (1). pp. 36-40. ISSN 0972-8600, DOI https://doi.org/10.1080/09728600.2022.2041365 <https://doi.org/10.1080/09728600.2022.2041365>. 10.1080/09728600.2022.2041365 |
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QA Mathematics |
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QA Mathematics Chin, Angelina Yan Mui Maimani, H. R. Pournaki, M. R. Sivagami, M. Tamizh Chelvam, T. Unitary Cayley graphs whose Roman domination numbers are at most four |
| description |
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. |
| format |
Article |
| author |
Chin, Angelina Yan Mui Maimani, H. R. Pournaki, M. R. Sivagami, M. Tamizh Chelvam, T. |
| author_facet |
Chin, Angelina Yan Mui Maimani, H. R. Pournaki, M. R. Sivagami, M. Tamizh Chelvam, T. |
| author_sort |
Chin, Angelina Yan Mui |
| title |
Unitary Cayley graphs whose Roman domination numbers are at most four |
| title_short |
Unitary Cayley graphs whose Roman domination numbers are at most four |
| title_full |
Unitary Cayley graphs whose Roman domination numbers are at most four |
| title_fullStr |
Unitary Cayley graphs whose Roman domination numbers are at most four |
| title_full_unstemmed |
Unitary Cayley graphs whose Roman domination numbers are at most four |
| title_sort |
unitary cayley graphs whose roman domination numbers are at most four |
| publisher |
Taylor & Francis Ltd |
| publishDate |
2022 |
| url |
http://eprints.um.edu.my/42977/ |
| _version_ |
1817841950525489152 |
| score |
13.251813 |