Shahrood University of Technology Journal of Algebraic Systems 2345-5128 9 2 2022 01 01 ON SOME TOTAL GRAPHS ON FINITE RINGS 267 280 2198 10.22044/jas.2021.10004.1495 EN M. Taghidoust Laskukalayeh Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran. M. Gholamnia Taleshani Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran. A. Abbasi Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran.Guilan, Rasht, Iran. Center of Excellence for Mathematical Modeling, Optimization and Combinatorial Computing (MMOCC), University of Guilan, Rasht, Iran. Journal Article 2020 08 22 We give a decomposition of total graphs on some finite commutative rings R = Zm, where the set of zero-divisors of R is not an ideal. In particular, we study the total graph T(􀀀(Z2npm))<br />where p is a prime and m and n are positive integers and investigate some graph theoretical properties with some of its fundamental subgraphs. https://jas.shahroodut.ac.ir/article_2198_c13bc973c806d636f9e791201321a3da.pdf