On connectedness of cayley graphs of finite transformation semigroups
© 2018 by the Mathematical Association of Thailand. All rights reserved. For a fixed non-empty subset Y of X, we denote by T (X, Y) the semigroup consisting of all transformations on X whose range is contained in Y. In this paper, we investigate connectedness of Cayley graphs of finite transformatio...
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th-cmuir.6653943832-588352018-09-05T04:33:27Z On connectedness of cayley graphs of finite transformation semigroups Chunya Tisklang Sayan Panma Mathematics © 2018 by the Mathematical Association of Thailand. All rights reserved. For a fixed non-empty subset Y of X, we denote by T (X, Y) the semigroup consisting of all transformations on X whose range is contained in Y. In this paper, we investigate connectedness of Cayley graphs of finite transformation semigroups with restricted range. Necessary and sufficient conditions for Cayley graph of T (X, Y) to be strongly connected, unilaterally connected, and weakly connected are given. 2018-09-05T04:33:27Z 2018-09-05T04:33:27Z 2018-01-01 Journal 16860209 2-s2.0-85045011466 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045011466&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58835 |
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Mathematics |
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Mathematics Chunya Tisklang Sayan Panma On connectedness of cayley graphs of finite transformation semigroups |
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© 2018 by the Mathematical Association of Thailand. All rights reserved. For a fixed non-empty subset Y of X, we denote by T (X, Y) the semigroup consisting of all transformations on X whose range is contained in Y. In this paper, we investigate connectedness of Cayley graphs of finite transformation semigroups with restricted range. Necessary and sufficient conditions for Cayley graph of T (X, Y) to be strongly connected, unilaterally connected, and weakly connected are given. |
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Journal |
| author |
Chunya Tisklang Sayan Panma |
| author_facet |
Chunya Tisklang Sayan Panma |
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Chunya Tisklang |
| title |
On connectedness of cayley graphs of finite transformation semigroups |
| title_short |
On connectedness of cayley graphs of finite transformation semigroups |
| title_full |
On connectedness of cayley graphs of finite transformation semigroups |
| title_fullStr |
On connectedness of cayley graphs of finite transformation semigroups |
| title_full_unstemmed |
On connectedness of cayley graphs of finite transformation semigroups |
| title_sort |
on connectedness of cayley graphs of finite transformation semigroups |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85045011466&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58835 |
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1681425139554582528 |