On total directed graphs of non-commutative rings

AKCE International Journal of Graphs and Combinatorics

Kukil Kalpa Rajkhowa¹  Helen K. Saikia² 

[1] Department of Mathematics, Cotton College State University;Department of Mathematics, Gauhati University;

关键词: non-commutative ring;    zero-divisor;    directed graph;    total graph;    clique;   

DOI  :  10.1016/j.akcej.2017.04.001

来源: DOAJ

【 摘 要 】

For a non-commutative ring , the left total directed graph of is a directed graph with vertex set as and for the vertices and , is adjacent to if and only if there is a non-zero which is different from and , such that is a left zero-divisor of . In this paper, we discuss some very basic results of left (as well as right) total directed graph of . We also study the coloring of left total directed graph of directed graph.

【 授权许可】

Unknown