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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2017-12-01
|
| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1016/j.akcej.2017.04.001 |
| _version_ | 1811341462419275776 |
|---|---|
| author | Kukil Kalpa Rajkhowa Helen K. Saikia |
| author_facet | Kukil Kalpa Rajkhowa Helen K. Saikia |
| author_sort | Kukil Kalpa Rajkhowa |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T18:56:41Z |
| format | Article |
| id | doaj.art-bf4848347b5a473fbd2ddcfeb3540f9a |
| institution | Directory Open Access Journal |
| issn | 0972-8600 |
| language | English |
| last_indexed | 2024-04-13T18:56:41Z |
| publishDate | 2017-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj.art-bf4848347b5a473fbd2ddcfeb3540f9a2022-12-22T02:34:14ZengTaylor & 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 |
| 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 |
| title | 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_short | On total directed graphs of non-commutative rings |
| title_sort | on total directed graphs of non commutative rings |
| 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 |