التفاصيل البيبلوغرافية
| العنوان: |
Computing the strong metric dimension for co-maximal ideal graphs of commutative rings. |
| المؤلفون: |
Shahriyari, R., Nikandish, R., Tehranian, A., Rasouli, H. |
| المصدر: |
Journal of Algebra & Its Applications; Mar2024, Vol. 23 Issue 3, p1-13, 13p |
| مصطلحات موضوعية: |
COMMUTATIVE rings, JACOBSON radical |
| مستخلص: |
Let R be a commutative ring with identity. The co-maximal ideal graph of R , denoted by Γ (R) , is a simple graph whose vertices are proper ideals of R which are not contained in the Jacobson radical J (R) of R and two distinct vertices I , J are adjacent if and only if I + J = R. In this paper, we use Gallai's Theorem and the concept of strong resolving graph to compute the strong metric dimension for co-maximal ideal graphs of commutative rings. Explicit formulae for the strong metric dimension, depending on whether the ring is reduced or not, are established. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
