Please use this identifier to cite or link to this item: http://localhost:8080/xmlui/handle/123456789/67
Title: On total directed graphs of non-commutative rings
Authors: Rajkhowa, Kukil Kalpa
Keywords: Mathematics
Non-commutative ring
Zero-divisor
Directed graph
Total graph
Clique
Issue Date: 2017
Publisher: AKCE International Journal of Graphs and Combinatorics
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 r ∈ R which is different from x and y, such that r x + 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.
URI: http://localhost:8080/xmlui/handle/123456789/67
ISSN: 2543-3474
Appears in Collections:Journal Article Publications

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