arXiv subjects

Pravin Gadge

Publications and source records attributed to Pravin Gadge.

2 recordsLinked to original sources

arXiv2025

On the strong metric dimension of the complement of the zero-divisor graph of a lattice

In this paper, we compute the strong metric dimension of the complement of the zero-divisor graph of the blow-up of a Boolean lattice. Using these results, we calculate the strong metric dimension of the total graph, the maximal graph, the intersection graph of ideals, the complement of the zero-divisor graph of a reduced ring, and the component graph of a vector space.

math.CO↗

arXiv2024

On the strong metric dimension of the zero-divisor graph of a lattice

In this paper, the generalized blow-up of a Boolean lattice $L\cong \textbf{2}^n$ using finite chains is introduced. Also, we compute the strong metric dimension of the zero-divisor graph of the blow-up of a Boolean lattice. These results are applied to calculate the strong metric dimension of the comaximal graph, the comaximal ideal graph, the zero-divisor graph of a reduced ring, and the component graph of a vector space.

math.CO↗