Cayley Graphs over LA-Groups and LA-Polygroups

Nabilah Abughazalah, Naveed Yaqoob, Asif Bashir and Roslan Hasni

Mathematical Problems in Engineering, 2021, vol. 2021, 1-9

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4226232

DOI: 10.1155/2021/4226232

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