The Intersection Graph of a Dihedral Group
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Published Dec 30, 2021
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Abstract
The intersection graph of a finite group G is a graph (V,E) where V is a set of all non-trivial subgroups of G and E is a set of edges where two distinct subgroups H_i , H_j are said to be adjacent if and only if H_i \cap H_j \neq {e} . This study discusses the intersection graph of a dihedral group D_{2n} specifically the subgraph, degree of vertices, radius, diameter, girth, and domination number. From this study, we obtained that if n=p^2 then the intersection graph of D_{2n} is containing complete subgraph K_{p+2} and \gamma(\Gamma_{D_{2n}})=p.
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How to Cite
Nurhabibah, N., Syarifudin, A. G., Wardhana, I. G. A. W., & Aini, Q. (2021). The Intersection Graph of a Dihedral Group. EIGEN MATHEMATICS JOURNAL, 4(2), 68–73. https://doi.org/10.29303/emj.v4i2.119
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