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Research Paper | Mathematics | India | Volume 11 Issue 4, April 2022 | Popularity: 4.4 / 10
Total Graph of Z_n and It's Adjacency Matrix
Pinku Sarkar, Kuntala Patra
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.
Keywords: Total Graph, Planarity, Adjacency matrix
Edition: Volume 11 Issue 4, April 2022
Pages: 1017 - 1019
DOI: https://www.doi.org/10.21275/SR22421133351
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