Digital Repository of Luhansk Taras Shevchenko National University
Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn
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| dc.contributor.author | Chandra, S. | |
| dc.contributor.author | Prakash, O. | |
| dc.contributor.author | Suthar, S. | |
| dc.date.accessioned | 2019-12-18T07:11:38Z | |
| dc.date.available | 2019-12-18T07:11:38Z | |
| dc.date.issued | 2018 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/4556 | |
| dc.description | Chandra S. Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn / S. Chandra, O. Prakash, S. Suthar // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 2. - Рp. 181 -190 | uk_UA |
| dc.description.abstract | Let Zn be the finite commutative ring of residue classes modulo n with identity and Γ(Zn) be its zero-divisor graph. In this paper, we investigate some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determine the Chromatic number and Energy of N(Zn) and Ω(Zn) for a positive integer n. In addition, we have found the conditions in which N(Zn) and Ω(Zn) graphs are planar. We have also given MATLAB coding of our calculations. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | ДЗ "ЛНУ імені Тараса Шевченка" | uk_UA |
| dc.relation.ispartofseries | математичні науки; | |
| dc.subject | commutative ring | uk_UA |
| dc.subject | zero-divisor graph | uk_UA |
| dc.subject | nilradical graph | uk_UA |
| dc.subject | non-nilradical graph | uk_UA |
| dc.subject | chromatic number | uk_UA |
| dc.subject | planar graph | uk_UA |
| dc.subject | energy of a graph | uk_UA |
| dc.title | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn | uk_UA |
| dc.type | Article | uk_UA |
