The edge chromatic number of ΓI(R)
For a commutative ring R and an ideal I of R, the ideal-based zero-divisor graph is the undirected graph ΓI(R) with vertices {x∈R−I:xy∈I for some y∈R−I}, where distinct vertices x and y are adjacent if and only if xy∈I. In this paper, we discuss the nature of the edges of ΓI(R). We also find the edg...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2017 |
| 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/123456789/156633 |
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| Цитувати: | The edge chromatic number of ΓI(R) / R. Kala, A. Mallika, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 250-261. — Бібліогр.: 16 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156633 |
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| record_format |
dspace |
| spelling |
irk-123456789-1566332019-06-19T01:26:55Z The edge chromatic number of ΓI(R) Kala, R. Mallika, A. Selvakumar, K. For a commutative ring R and an ideal I of R, the ideal-based zero-divisor graph is the undirected graph ΓI(R) with vertices {x∈R−I:xy∈I for some y∈R−I}, where distinct vertices x and y are adjacent if and only if xy∈I. In this paper, we discuss the nature of the edges of ΓI(R). We also find the edge chromatic number for the graph ΓI(R). 2017 Article The edge chromatic number of ΓI(R) / R. Kala, A. Mallika, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 250-261. — Бібліогр.: 16 назв. — англ. 1726-3255 2010 MSC:05C99, 13A15, 13F10. http://dspace.nbuv.gov.ua/handle/123456789/156633 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 |
For a commutative ring R and an ideal I of R, the ideal-based zero-divisor graph is the undirected graph ΓI(R) with vertices {x∈R−I:xy∈I for some y∈R−I}, where distinct vertices x and y are adjacent if and only if xy∈I. In this paper, we discuss the nature of the edges of ΓI(R). We also find the edge chromatic number for the graph ΓI(R). |
| format |
Article |
| author |
Kala, R. Mallika, A. Selvakumar, K. |
| spellingShingle |
Kala, R. Mallika, A. Selvakumar, K. The edge chromatic number of ΓI(R) Algebra and Discrete Mathematics |
| author_facet |
Kala, R. Mallika, A. Selvakumar, K. |
| author_sort |
Kala, R. |
| title |
The edge chromatic number of ΓI(R) |
| title_short |
The edge chromatic number of ΓI(R) |
| title_full |
The edge chromatic number of ΓI(R) |
| title_fullStr |
The edge chromatic number of ΓI(R) |
| title_full_unstemmed |
The edge chromatic number of ΓI(R) |
| title_sort |
edge chromatic number of γi(r) |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156633 |
| citation_txt |
The edge chromatic number of ΓI(R) / R. Kala, A. Mallika, K. Selvakumar // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 250-261. — Бібліогр.: 16 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kalar theedgechromaticnumberofgir AT mallikaa theedgechromaticnumberofgir AT selvakumark theedgechromaticnumberofgir AT kalar edgechromaticnumberofgir AT mallikaa edgechromaticnumberofgir AT selvakumark edgechromaticnumberofgir |
| first_indexed |
2023-05-20T17:50:07Z |
| last_indexed |
2023-05-20T17:50:07Z |
| _version_ |
1796154202100072448 |