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|Title:||On connectedness of cayley graphs of finite transformation semigroups|
|Abstract:||© 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.|
|Appears in Collections:||CMUL: Journal Articles|
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