Title :
On the T-graph of a Commutative Ring
Author_Institution :
Dept. of pure Math., Univ. of Guilan, Rasht, Iran
Abstract :
Let R be a commutative ring with non-zero identity and let I be a proper ideal of R. In this talk we study the T-graph ΓIt(R) consisting of all elements of R as vertices, such that two vertices x and y in the graph are adjacent if and only if x + y ϵ S(I), where S(I) = {a ϵ R | ra ϵ, for somer ϵ R - I}.
Keywords :
graph theory; T-graph; commutative ring; graph vertex; ring nonzero identity; Abstracts; Conferences; Educational institutions; Modules (abstract algebra); Social network services; commutative rings; total graphs;
Conference_Titel :
Advances in Social Networks Analysis and Mining (ASONAM), 2012 IEEE/ACM International Conference on
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-2497-7
DOI :
10.1109/ASONAM.2012.235
