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Research Paper | Mathematics | Volume 11 Issue 3, March 2022 | Pages: 227 - 231 | India
On Conjugate Graphs of Dihedral Group
Abstract: The conjugate graph ?_C^G (G) of a non-abelian group G is a graph whose vertices are the elements of G and two vertices are adjacent if they belong to the same conjugacy class. In this paper, we study the line graphs and complement of conjugate graphs of D_n and explore graph properties like chromatic number, independence number, diameter, planarity, vertex and edge connectivity. Further, results related to the spectrum and energy of line graphs have also been discussed.
Keywords: Conjugate graph, Dihedral Group, Line Graph, Energy
How to Cite?: Chinmayee Kumar, Kuntala Patra, "On Conjugate Graphs of Dihedral Group", Volume 11 Issue 3, March 2022, International Journal of Science and Research (IJSR), Pages: 227-231, https://www.ijsr.net/getabstract.php?paperid=SR22303185424, DOI: https://dx.doi.org/10.21275/SR22303185424