

domination number of total graph of module





نویسنده

shariatnia abbas ,tehranian abolfazl

منبع

journal of algebraic structures and their applications  2015  دوره : 2  شماره : 1  صفحه:1 9

چکیده

Let rr be a commutative ring and mm be an rrmodule 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 mm as vertices, and for distinct elements n,m∈mn,m∈m, the vertices nn and mm are adjacent if and only if n+m∈t(m)n+m∈t(m). in this paper we study the domination number of t(γ(m))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)).

کلیدواژه

total graph ,domination number ,module

آدرس

islamic azad university, science and research branch, department of mathematics,, ایران, islamic azad university, science and research branch, department of mathematics, ایران

پست الکترونیکی

tehranian1340@yahoo.com












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