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Total Graph of Z_n and It's Adjacency Matrix

Journal: International Journal of Science and Research (IJSR) (Vol.11, No. 4)

Publication Date:

Authors : ; ;

Page : 1017-1019

Keywords : Total Graph; Planarity; Adjacency matrix;

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Let G be a simple undirected graph. For a commutative ring R, Z(R)be the set of zero divisors of R. Total graph of R is denoted by T(?(R)), all elements of R are taken as vertices of the graph.Two distinct vertices a,b are adjacent if and only if a+b?Z(R). Here we study total graph T(?(R)) for R=Z_n. Also discuss degree, planarity, Eulerian property for different n. We also study adjacency matrix of the graph.

Last modified: 2022-05-14 21:04:25