On the Independence Number of Cayley Digraphs of Rectangular Groups
© 2018, Springer Japan KK, part of Springer Nature. A rectangular group is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. Some special cases of rectangular groups consisting of left groups and right groups are also considered here. Let Cay (S, A) deno...
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th-cmuir.6653943832-588002018-09-05T04:32:29Z On the Independence Number of Cayley Digraphs of Rectangular Groups Sayan Panma Nuttawoot Nupo Mathematics © 2018, Springer Japan KK, part of Springer Nature. A rectangular group is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. Some special cases of rectangular groups consisting of left groups and right groups are also considered here. Let Cay (S, A) denote the Cayley digraph of the rectangular group S with the connection set A. In this paper, we are interested in studying some properties of Cay (S, A) such as the independence, weakly independence, path independence, and weakly path independence. Furthermore, the independence numbers for those properties of Cay (S, A) are also determined. 2018-09-05T04:32:29Z 2018-09-05T04:32:29Z 2018-07-01 Journal 09110119 2-s2.0-85046735560 10.1007/s00373-018-1896-6 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046735560&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58800 |
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Mathematics |
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Mathematics Sayan Panma Nuttawoot Nupo On the Independence Number of Cayley Digraphs of Rectangular Groups |
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© 2018, Springer Japan KK, part of Springer Nature. A rectangular group is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. Some special cases of rectangular groups consisting of left groups and right groups are also considered here. Let Cay (S, A) denote the Cayley digraph of the rectangular group S with the connection set A. In this paper, we are interested in studying some properties of Cay (S, A) such as the independence, weakly independence, path independence, and weakly path independence. Furthermore, the independence numbers for those properties of Cay (S, A) are also determined. |
| format |
Journal |
| author |
Sayan Panma Nuttawoot Nupo |
| author_facet |
Sayan Panma Nuttawoot Nupo |
| author_sort |
Sayan Panma |
| title |
On the Independence Number of Cayley Digraphs of Rectangular Groups |
| title_short |
On the Independence Number of Cayley Digraphs of Rectangular Groups |
| title_full |
On the Independence Number of Cayley Digraphs of Rectangular Groups |
| title_fullStr |
On the Independence Number of Cayley Digraphs of Rectangular Groups |
| title_full_unstemmed |
On the Independence Number of Cayley Digraphs of Rectangular Groups |
| title_sort |
on the independence number of cayley digraphs of rectangular groups |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046735560&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58800 |
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