3 papers
math.CO2026
Metric Bases of Barycentric and Matching Subdivisions of Zero-Divisor Graphs
Vidya S, Prasanna Poojary, Bilal Ahmad Rather +1
In this paper, we study metric bases and related metric properties for barycentric and partial matching subdivisions of the zero-divisor graph of , where and $q…
math.CO2026
Fault-tolerant metric basis and dimension of barycentric subdivision of zero divisor graphs
Vidya S, Sunny Kumar Sharma, Prasanna Poojary +1
The undirected zero divisor graph of a commutative ring with unity \( R \), denoted by \( Γ(R) = (V(Γ(R)), E(Γ(R))) \). The vertex set \( V(Γ(R)) \) consists of all the non-zero ze…
math.CO2026
Metric basis and dimension of barycentric subdivision of zero divisor graphs
S. Vidya, Sunny Kumar Sharma, Prasanna Poojary +2
Let be a commutative ring with unity 1, and be a simple, connected, nontrivial graph. Let be the distance between the vertices and in . An undire…