Total Graph of Z_n and It's Adjacency Matrix
Journal: International Journal of Science and Research (IJSR) (Vol.11, No. 4)Publication Date: 2022-04-05
Authors : Pinku Sarkar; Kuntala Patra;
Page : 1017-1019
Keywords : Total Graph; Planarity; Adjacency matrix;
Abstract
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.
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Last modified: 2022-05-14 21:04:25