Line graph embedding of co-intersection graph of ideals of commutative rings
This research paper focuses on the co-intersection graph of a commutative ring [Formula: see text]. The co-intersection graph of [Formula: see text] denoted by [Formula: see text] is a simple graph with vertices that are non-trivial ideals of [Formula: see text], and two distinct vertices I and J ar...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-08-01
|
| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2025.2534342 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This research paper focuses on the co-intersection graph of a commutative ring [Formula: see text]. The co-intersection graph of [Formula: see text] denoted by [Formula: see text] is a simple graph with vertices that are non-trivial ideals of [Formula: see text], and two distinct vertices I and J are adjacent if and only if [Formula: see text]. The primary goal of this study is to characterize Artinian commutative rings [Formula: see text], and determining whether their associated co-intersection graph [Formula: see text] forms a line graph and identifying instances where it becomes the complement of a line graph. Additionally, the article investigates the planarity and outerplanarity of the line graph of the co-intersection graph [Formula: see text]. Finally, the research identifies the genus one of this line graph of co-intersection graph of ideals of a commutative ring. |
|---|---|
| ISSN: | 0972-8600 2543-3474 |