Abstract | ||
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In this paper, we first introduce the concept of Cayley graphs over Green $$^*$$ relations of abundant semigroups by using Green $$^*$$ relations. After obtaining some basic properties, we get some conditions for Cayley graphs over Green $$^*$$ relations of abundant semigroups to be transmissible. Finally, we give necessary and sufficient conditions for a Cayley graph over Green $$^*$$ relations of an abundant semigroup to be linear and complete, respectively. |
Year | DOI | Venue |
---|---|---|
2019 | 10.1007/s00373-019-02106-2 | Graphs and Combinatorics |
Keywords | DocType | Volume |
Abundant semigroups, Cayley graphs over Green
relations, Transmissible, Linear graphs, Complete graphs, 06F05, 20M10 | Journal | 35 |
Issue | ISSN | Citations |
6 | 0911-0119 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chunhua Li | 1 | 1 | 0.69 |
Baogen Xu | 2 | 122 | 19.54 |
Huawei Huang | 3 | 0 | 0.34 |