Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal
In this paper, at first we introduce the concepts of ideal-annihilator, dual ideal- annihilator, right- ideal- annihilator, left- ideal- annihilator, right- dual ideal- annihilator, left- dual idealannihilator. Then by using of these concepts, we constructed six new types of graphs in a bounded BC...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2020-05-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/EightKindsOfGraphs.pdf |
| _version_ | 1819140992072155136 |
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| author | tena Tahmasbpour Meikola |
| author_facet | tena Tahmasbpour Meikola |
| author_sort | tena Tahmasbpour Meikola |
| collection | DOAJ |
| description | In this paper, at first we introduce the concepts of ideal-annihilator, dual ideal- annihilator,
right- ideal- annihilator, left- ideal- annihilator, right- dual ideal- annihilator, left- dual idealannihilator. Then by using of these concepts, we constructed six new types of graphs in a bounded
BCK-algebra based on ideal and dual ideal which are denoted by
, and , respectively. Then basic properties of graph
theory such as connectivity, regularity, and planarity on the structure of these graphs are
investigated. Finally, by utilizing of binary operations and , we construct graphs and
, respectively, some their interesting properties are presented. |
| first_indexed | 2024-12-22T11:47:22Z |
| format | Article |
| id | doaj.art-5b8e1a35239240019b5dbc1d422365bd |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-22T11:47:22Z |
| publishDate | 2020-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-5b8e1a35239240019b5dbc1d422365bd2022-12-21T18:27:07ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-05-013312210.5281/zenodo.3782833Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Idealtena Tahmasbpour Meikola 0Department of mathematics. Islamic azad university, central Tehran branch, IranIn this paper, at first we introduce the concepts of ideal-annihilator, dual ideal- annihilator, right- ideal- annihilator, left- ideal- annihilator, right- dual ideal- annihilator, left- dual idealannihilator. Then by using of these concepts, we constructed six new types of graphs in a bounded BCK-algebra based on ideal and dual ideal which are denoted by , and , respectively. Then basic properties of graph theory such as connectivity, regularity, and planarity on the structure of these graphs are investigated. Finally, by utilizing of binary operations and , we construct graphs and , respectively, some their interesting properties are presented.http://fs.unm.edu/NSS/EightKindsOfGraphs.pdf: bck- algebra; diameter; chromatic number; euler graph |
| spellingShingle | tena Tahmasbpour Meikola Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal Neutrosophic Sets and Systems : bck- algebra; diameter; chromatic number; euler graph |
| title | Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal |
| title_full | Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal |
| title_fullStr | Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal |
| title_full_unstemmed | Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal |
| title_short | Eight Kinds of Graphs of BCK-algebras Based on Ideal and Dual Ideal |
| title_sort | eight kinds of graphs of bck algebras based on ideal and dual ideal |
| topic | : bck- algebra; diameter; chromatic number; euler graph |
| url | http://fs.unm.edu/NSS/EightKindsOfGraphs.pdf |
| work_keys_str_mv | AT tenatahmasbpourmeikola eightkindsofgraphsofbckalgebrasbasedonidealanddualideal |