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 |
| Summary: | 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. |
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| ISSN: | 2331-6055 2331-608X |