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Cayley Graphs over LA-Groups and LA-Polygroups

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  • Nabilah Abughazalah
  • Naveed Yaqoob
  • Asif Bashir
  • Roslan Hasni

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.

Suggested Citation

  • Nabilah Abughazalah & Naveed Yaqoob & Asif Bashir & Roslan Hasni, 2021. "Cayley Graphs over LA-Groups and LA-Polygroups," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, May.
    • Handle: RePEc:hin:jnlmpe:4226232
    DOI: 10.1155/2021/4226232
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