Independent domination number in Cayley digraphs of rectangular groups
© 2018 World Scientific Publishing Company. Let Cay(S,A) denote the Cayley digraph of the rectangular group S with respect to the connection set A in which the rectangular group S is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. An independent domina...
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th-cmuir.6653943832-484142018-04-25T10:12:08Z Independent domination number in Cayley digraphs of rectangular groups Nuttawoot Nupo Sayan Panma © 2018 World Scientific Publishing Company. Let Cay(S,A) denote the Cayley digraph of the rectangular group S with respect to the connection set A in which the rectangular group S is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. An independent dominating set of Cay(S,A) is the independent set of elements in S that can dominate the whole elements. in this paper, we investigate the independent domination number of Cay(S,A) and give more results on Cayley digraphs of left groups and right groups which are specific cases of rectangular groups. Moreover, some results of the path independent domination number of Cay(S,A) are also shown. 2018-04-25T10:12:08Z 2018-04-25T10:12:08Z 2018-04-01 Journal 17938317 17938309 2-s2.0-85042741462 10.1142/S1793830918500246 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042741462&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48414 |
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© 2018 World Scientific Publishing Company. Let Cay(S,A) denote the Cayley digraph of the rectangular group S with respect to the connection set A in which the rectangular group S is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. An independent dominating set of Cay(S,A) is the independent set of elements in S that can dominate the whole elements. in this paper, we investigate the independent domination number of Cay(S,A) and give more results on Cayley digraphs of left groups and right groups which are specific cases of rectangular groups. Moreover, some results of the path independent domination number of Cay(S,A) are also shown. |
| format |
Journal |
| author |
Nuttawoot Nupo Sayan Panma |
| spellingShingle |
Nuttawoot Nupo Sayan Panma Independent domination number in Cayley digraphs of rectangular groups |
| author_facet |
Nuttawoot Nupo Sayan Panma |
| author_sort |
Nuttawoot Nupo |
| title |
Independent domination number in Cayley digraphs of rectangular groups |
| title_short |
Independent domination number in Cayley digraphs of rectangular groups |
| title_full |
Independent domination number in Cayley digraphs of rectangular groups |
| title_fullStr |
Independent domination number in Cayley digraphs of rectangular groups |
| title_full_unstemmed |
Independent domination number in Cayley digraphs of rectangular groups |
| title_sort |
independent domination number in cayley digraphs of rectangular groups |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042741462&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/48414 |
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1681423244671844352 |