Generalized Cayley graphs of semigroups II |
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Authors: | Email author" target="_blank">Yongwen?ZhuEmail author |
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Institution: | (1) School of Mathematics and Information Science, Yantai University, Yantai City, 264005, P.R. China |
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Abstract: | Following Zhu (Semigroup Forum, 2011, doi:), we study generalized Cayley graphs of semigroups. The Cayley D-saturated property, a particular combinatorial property, of generalized Cayley graphs of semigroups is considered and most
of the results in Kelarev and Quinn (Semigroup Forum 66:89–96, 2003), Yang and Gao (Semigroup Forum 80:174–180, 2010) are extended. In addition, for some basic graphs and their complete fission graphs, we describe all semigroups whose universal
Cayley graphs are isomorphic to these graphs. |
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