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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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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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