Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn
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 investigated some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determined the Chromatic nu...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2017 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156641 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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, № 2. — С. 181-190. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862740940755566592 |
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| author | Chandra, S. Prakash, O. Suthar, S. |
| author_facet | Chandra, S. Prakash, O. Suthar, S. |
| citation_txt | 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, № 2. — С. 181-190. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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 investigated some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determined 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.
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| first_indexed | 2025-12-07T20:17:08Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-156641 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:17:08Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chandra, S. Prakash, O. Suthar, S. 2019-06-18T18:19:12Z 2019-06-18T18:19:12Z 2017 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, № 2. — С. 181-190. — Бібліогр.: 8 назв. — англ. 1726-3255 2010 MSC:13Axx, 05Cxx, 05C15, 05C10, 65KXX. https://nasplib.isofts.kiev.ua/handle/123456789/156641 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 investigated some properties of nilradical graph, denoted by N(Zn) and non-nilradical graph, denoted by Ω(Zn) of Γ(Zn). In particular, we determined 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn Article published earlier |
| spellingShingle | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn Chandra, S. Prakash, O. Suthar, S. |
| title | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
| title_full | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
| title_fullStr | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
| title_full_unstemmed | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
| title_short | Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn |
| title_sort | some properties of the nilradical and non-nilradical graphs over finite commutative ring zn |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156641 |
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