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Structure of the Equal Bi-Quadratic Graph of Finite Groups
International Journal of Statistics and Applied Mathematics · 2025 · Vol. 10(10) · pp. 118–122
Abstract
In this research, we introduce the new graph Equal Bi-Quadratic graph. The Equal Bi-Quadratic graph of a finite group G denoted as EBQ(G) is an undirected simple graph having pairs of different vertices u and v adjacent iff u^4=v^4. This manuscript explores the representation of Equal Bi-Quadratic graph strucure for finite cyclic and dihedral groups.
Finite Group Theory Researchgraph theory and CDMA systemsRings, Modules, and AlgebrasDihedral groupGraphVoltage graphUndirected graphDistance-regular graphComplement graphButterfly graphGraph powerFinite group
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