Conjugate Graph and Some Properties of the SL(2,3) Group
Journal: International Journal of Science and Research (IJSR) (Vol.11, No. 5)Publication Date: 2022-05-05
Authors : Yangertola; Kuntala Patra;
Page : 1965-1969
Keywords : Conjugate graph; SL (23) group; adjacency matrix; line graph; complement graph;
Abstract
Conjugate graph is a graph in which the vertices are the non central elements of a group and two vertices are adjacent if they are conjugate. In this paper, the conjugate graph of SL(2,3) is first calculated and then its adjacency matrix, Laplacian, spectrum, line graph and complement graphs are found. We also calculate the different graph properties like clique number, dominating number, chromatic number and independence number of this graph.
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