5 papers
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…
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…
On \(\mathbb{F}_q\)-Order of Polynomials and Properties of \(r\)-Primitive and \(k\)-Normal Elements over Finite Fields
Maithri K., Vadiraja Bhatta G. R., Indira K. P. +1
Polynomials and elements over finite fields exhibit closely related algebraic structures, and many properties defined for elements extend naturally to polynomials. The concepts of…
Lee Distance of cyclic codes of length over
Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R
Let be a prime number and and be a positive integers. Let (). Cyclic codes of length…
On the Sum of Additive Characters and its Applications over Finite Fields
Maithri K., Vadiraja Bhatta G. R., Indira K. P
In this paper, we study the sum of additive characters over finite fields, with a focus on those of specified \(\mathbb{F}_q\)-Order. We establish a general formula for these chara…