Title of article
DOMINATION NUMBER OF TOTAL GRAPH OF MODULE
Author/Authors
Shariatnia, Abbas Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Tehranian, Abolfazl Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran
Pages
9
From page
1
To page
9
Abstract
Let R be a commutative ring and M be an R-module with T(M) as subset, the set of torsion elements. The total graph of the module denoted by T(Γ(M)), is the (undirected) graph with all elements of M as vertices, and for distinct elements n,m∈M, the vertices n and m are adjacent if and only if n+m∈T(M). In this paper we study the domination number of T(Γ(M)) and
investigate the necessary conditions for being Zn as module over Zm and we find the domination number of T(Γ(Zn)).
Keywords
total graph , domination number , Module
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2451940
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