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On perfectness of annihilating-ideal graph of ℤn.
- Source :
- Communications in Combinatorics & Optimization; 2023, Vol. 8 Issue 1, p173-181, 9p
- Publication Year :
- 2023
-
Abstract
- The annihilating-ideal graph of a commutative ring R with unity is deffned as the graph AG(R) whose vertex set is the set of all non-zero ideals with non-zero annihilators and two distinct vertices I and J are adjacent if and only if IJ = 0. Nikan-dish et.al. proved that AG(Z<subscript>n</subscript>) is weakly perfect. In this short paper, we characterize n for which AG(Z<subscript>n</subscript>) is perfect. [ABSTRACT FROM AUTHOR]
- Subjects :
- CHARTS, diagrams, etc.
GRAPHIC methods
GEOMETRIC vertices
MATHEMATICS
INDEXES
Subjects
Details
- Language :
- English
- ISSN :
- 25382128
- Volume :
- 8
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Communications in Combinatorics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 160671370
- Full Text :
- https://doi.org/10.22049/CCO.2021.27382.1252