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Strong resolving graph of the intersection graph in commutative rings
E. Dodongeh, A. Moussavi, R. Nikandish
The intersection graph of ideals associated with a commutative unitary ring is the graph whose vertices all non-trivial ideals of and there exists an edge between di…
Exploring Metric and Strong Metric Dimensions in Inclusion Ideal Graphs of Commutative Rings
E. Dodongeh, A. Moussavi, R. Nikandish
The inclusion ideal graph of a commutative unitary ring is the (undirected) graph whose vertices all non-trivial ideals of and two distinct vertices are adjacent if…
Strong metric dimension of the prime ideal sum graph of a commutative ring
Praveen Mathil, Jitender Kumar, Reza Nikandish
Let be a commutative ring with unity. The prime ideal sum graph of the ring is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of a…
Coloring of cozero-divisor graphs of commutative von Neumann regular rings
R. Nikandish, M. J. Nikmehr, M. Bakhtyiari
Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertices in , which is the set of all non…
When the Annihilator Graph of a Commutative Ring Is Planar or Toroidal?
Mohammad Javad Nikmehr, Reza Nikandish, Moharam Bakhtyiari
Let be a commutative ring with identity, and let be the set of zero-divisors of . The annihilator graph of is defined as the undirected graph with the ver…