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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156633 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156633 |
|---|---|
| record_format |
dspace |
| spelling |
Kala, R. Mallika, A. Selvakumar, K. 2019-06-18T18:09:56Z 2019-06-18T18:09:56Z 2017 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. https://nasplib.isofts.kiev.ua/handle/123456789/156633 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). The authors are deeply grateful to the referee for careful reading of the paper and helpful comments and many valuable suggestions that has improved the paper a lot. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The edge chromatic number of ΓI(R) Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The edge chromatic number of ΓI(R) |
| spellingShingle |
The edge chromatic number of ΓI(R) Kala, R. Mallika, A. Selvakumar, K. |
| 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) |
| author |
Kala, R. Mallika, A. Selvakumar, K. |
| author_facet |
Kala, R. Mallika, A. Selvakumar, K. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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).
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT kalar theedgechromaticnumberofγir AT mallikaa theedgechromaticnumberofγir AT selvakumark theedgechromaticnumberofγir AT kalar edgechromaticnumberofγir AT mallikaa edgechromaticnumberofγir AT selvakumark edgechromaticnumberofγir |
| first_indexed |
2025-12-07T17:28:35Z |
| last_indexed |
2025-12-07T17:28:35Z |
| _version_ |
1850871398304579584 |