On total directed graphs of non-commutative rings
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 l...
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Taylor & Francis Group
2017-12-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
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| Online Access: | http://dx.doi.org/10.1016/j.akcej.2017.04.001 |
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doaj-bf4848347b5a473fbd2ddcfeb3540f9a2020-11-25T03:20:53ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002017-12-0114326126810.1016/j.akcej.2017.04.00112092626On total directed graphs of non-commutative ringsKukil Kalpa Rajkhowa0Helen K. Saikia1Department of Mathematics, Cotton College State UniversityDepartment of Mathematics, Gauhati UniversityFor 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.http://dx.doi.org/10.1016/j.akcej.2017.04.001non-commutative ringzero-divisordirected graphtotal graphclique |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kukil Kalpa Rajkhowa Helen K. Saikia |
| spellingShingle |
Kukil Kalpa Rajkhowa Helen K. Saikia On total directed graphs of non-commutative rings AKCE International Journal of Graphs and Combinatorics non-commutative ring zero-divisor directed graph total graph clique |
| author_facet |
Kukil Kalpa Rajkhowa Helen K. Saikia |
| author_sort |
Kukil Kalpa Rajkhowa |
| title |
On total directed graphs of non-commutative rings |
| title_short |
On total directed graphs of non-commutative rings |
| title_full |
On total directed graphs of non-commutative rings |
| title_fullStr |
On total directed graphs of non-commutative rings |
| title_full_unstemmed |
On total directed graphs of non-commutative rings |
| title_sort |
on total directed graphs of non-commutative rings |
| publisher |
Taylor & Francis Group |
| series |
AKCE International Journal of Graphs and Combinatorics |
| issn |
0972-8600 |
| publishDate |
2017-12-01 |
| description |
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. |
| topic |
non-commutative ring zero-divisor directed graph total graph clique |
| url |
http://dx.doi.org/10.1016/j.akcej.2017.04.001 |
| work_keys_str_mv |
AT kukilkalparajkhowa ontotaldirectedgraphsofnoncommutativerings AT helenksaikia ontotaldirectedgraphsofnoncommutativerings |
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1724616006757777408 |