Power graphs and a combinatorial property of abundant semigroups
The aim of this paper is to study the power graph of a semigroup. We obtain sufficient and necessary conditions for the independence number of the power graph of an (IC) abundant semigroups (superabundant semigroups) to be finite.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-01-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2025.2450596 |
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| _version_ | 1832592182575366144 |
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| author | Junying Guo Xiaojiang Guo |
| author_facet | Junying Guo Xiaojiang Guo |
| author_sort | Junying Guo |
| collection | DOAJ |
| description | The aim of this paper is to study the power graph of a semigroup. We obtain sufficient and necessary conditions for the independence number of the power graph of an (IC) abundant semigroups (superabundant semigroups) to be finite. |
| format | Article |
| id | doaj-art-e460b5ef3d31405ab27bd5cc661437c8 |
| institution | Kabale University |
| issn | 0972-8600 2543-3474 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj-art-e460b5ef3d31405ab27bd5cc661437c82025-01-21T13:07:59ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742025-01-011610.1080/09728600.2025.2450596Power graphs and a combinatorial property of abundant semigroupsJunying Guo0Xiaojiang Guo1School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, Jiangxi, ChinaSchool of Mathematics and Statistics, Jiangxi Normal University, Nanchang, Jiangxi, ChinaThe aim of this paper is to study the power graph of a semigroup. We obtain sufficient and necessary conditions for the independence number of the power graph of an (IC) abundant semigroups (superabundant semigroups) to be finite.https://www.tandfonline.com/doi/10.1080/09728600.2025.2450596Power graphindependence numberabundant semigroupsuperabundant semigroup05C2520M10 |
| spellingShingle | Junying Guo Xiaojiang Guo Power graphs and a combinatorial property of abundant semigroups AKCE International Journal of Graphs and Combinatorics Power graph independence number abundant semigroup superabundant semigroup 05C25 20M10 |
| title | Power graphs and a combinatorial property of abundant semigroups |
| title_full | Power graphs and a combinatorial property of abundant semigroups |
| title_fullStr | Power graphs and a combinatorial property of abundant semigroups |
| title_full_unstemmed | Power graphs and a combinatorial property of abundant semigroups |
| title_short | Power graphs and a combinatorial property of abundant semigroups |
| title_sort | power graphs and a combinatorial property of abundant semigroups |
| topic | Power graph independence number abundant semigroup superabundant semigroup 05C25 20M10 |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2025.2450596 |
| work_keys_str_mv | AT junyingguo powergraphsandacombinatorialpropertyofabundantsemigroups AT xiaojiangguo powergraphsandacombinatorialpropertyofabundantsemigroups |