On connected cayley graphs of semigroups
© 2015 by the Mathematical Association of Thailand. All rights reserved. It is well known that for a finite group G with a nonempty subset A, the Cayley graph of G with respect to A is connected if and only if A is a generating set of G. In this paper we generalize this result to the case of semigro...
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th-cmuir.6653943832-440212018-04-25T07:44:50Z On connected cayley graphs of semigroups T. Suksumran S. Panma Agricultural and Biological Sciences © 2015 by the Mathematical Association of Thailand. All rights reserved. It is well known that for a finite group G with a nonempty subset A, the Cayley graph of G with respect to A is connected if and only if A is a generating set of G. In this paper we generalize this result to the case of semigroups and give some necessary and sufficient conditions for Cayley graphs of a semigroup to be connected. We also characterize weakly connected Cayley graphs of a semigroup and indicate a relationship between a Cayley graph of a semigroup and the Hasse diagram of a partially ordered set. 2018-01-24T04:37:09Z 2018-01-24T04:37:09Z 2015-12-01 Journal 16860209 2-s2.0-84952908237 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952908237&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44021 |
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Chiang Mai University |
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Chiang Mai University Library |
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Agricultural and Biological Sciences |
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Agricultural and Biological Sciences T. Suksumran S. Panma On connected cayley graphs of semigroups |
| description |
© 2015 by the Mathematical Association of Thailand. All rights reserved. It is well known that for a finite group G with a nonempty subset A, the Cayley graph of G with respect to A is connected if and only if A is a generating set of G. In this paper we generalize this result to the case of semigroups and give some necessary and sufficient conditions for Cayley graphs of a semigroup to be connected. We also characterize weakly connected Cayley graphs of a semigroup and indicate a relationship between a Cayley graph of a semigroup and the Hasse diagram of a partially ordered set. |
| format |
Journal |
| author |
T. Suksumran S. Panma |
| author_facet |
T. Suksumran S. Panma |
| author_sort |
T. Suksumran |
| title |
On connected cayley graphs of semigroups |
| title_short |
On connected cayley graphs of semigroups |
| title_full |
On connected cayley graphs of semigroups |
| title_fullStr |
On connected cayley graphs of semigroups |
| title_full_unstemmed |
On connected cayley graphs of semigroups |
| title_sort |
on connected cayley graphs of semigroups |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84952908237&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44021 |
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1681422481954439168 |