ON SOME TOTAL GRAPHS ON FINITE RINGS

Document Type : Original Manuscript

Authors

1 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran.

2 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 19141, Rasht, Iran.Guilan, Rasht, Iran.

3 Center of Excellence for Mathematical Modeling, Optimization and Combinatorial Computing (MMOCC), University of Guilan, Rasht, Iran.

Abstract

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))
where p is a prime and m and n are positive integers and investigate some graph theoretical properties with some of its fundamental subgraphs.

Keywords

References

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Journal of Algebraic Systems
Volume 9, Issue 2
January 2022
Pages 267-280

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