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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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156641 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156641 |
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irk-123456789-1566412019-06-19T01:28:11Z Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn Chandra, S. Prakash, O. Suthar, S. 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. 2017 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156641 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Chandra, S. Prakash, O. Suthar, S. |
| spellingShingle |
Chandra, S. Prakash, O. Suthar, S. Some properties of the nilradical and non-nilradical graphs over finite commutative ring Zn Algebra and Discrete Mathematics |
| author_facet |
Chandra, S. Prakash, O. Suthar, S. |
| author_sort |
Chandra, S. |
| title |
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_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_sort |
some properties of the nilradical and non-nilradical graphs over finite commutative ring zn |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156641 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:50:09Z |
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