Cayley Graphs over LA-Groups and LA-Polygroups
The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups GCLAP−graphs. In this regard, we construct two new extensions for building LA-polygroups. Then, we define Cayley graph over LA-group and GCLAP-graph. Further, we investigate a few properties...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2021-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/4226232 |
| Summary: | The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups GCLAP−graphs. In this regard, we construct two new extensions for building LA-polygroups. Then, we define Cayley graph over LA-group and GCLAP-graph. Further, we investigate a few properties of them to show that each simple graph of order three, four, and five (except cycle graph of order five which may or may not be a GCLAP-graph) is a GCLAP-graph and then we prove this result. |
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| ISSN: | 1563-5147 |