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Cayley Graphs over LA-Groups and LA-Polygroups

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The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups . In this regard, we construct two new extensions for building LA-polygroups.… Click to show full abstract

The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA-polygroups . 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.

Keywords: gclap graph; graphs groups; groups polygroups; graph; cayley graphs

Journal Title: Mathematical Problems in Engineering
Year Published: 2021

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