R. VadirajaBhattaG.

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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 $Z_{pq}$ , where $p$ 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.CO2025

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

Let $p$ be a prime number and $ς$ and $m$ be a positive integers. Let $R = F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$ ( $u^{3} = 0$ ). Cyclic codes of length…

Metric Bases of Barycentric and Matching Subdivisions of Zero-Divisor Graphs

Fault-tolerant metric basis and dimension of barycentric subdivision of zero divisor graphs

Lee Distance of cyclic codes of length 2ς over F2m​+uF2m​+u2F2m​

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$