Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902766 | AKCE International Journal of Graphs and Combinatorics | 2017 | 8 Pages |
Abstract
For a non-commutative ring R, the left total directed graph of R is a directed graph with vertex set as R and for the vertices x and y, x is adjacent to y if and only if there is a non-zero râR which is different from x and y, such that rx+yr is a left zero-divisor of R. In this paper, we discuss some very basic results of left (as well as right) total directed graph of R. We also study the coloring of left total directed graph of R directed graph.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Kukil Kalpa Rajkhowa, Helen K. Saikia,