2 citations · 3 across the 7 of their papers we have counts for
8 papers
Combinatorial invariants for certain classes of non-abelian groups
Naveen K. Godara, Renu Joshi, Eshita Mazumdar
This article focuses on the study of zero-sum invariants of finite non-abelian groups. We address two main problems: the first centers on the ordered Davenport constant and the sec…
An algebraic approach towards a conjecture on the Davenport constant
Naveen K. Godara, Renu Joshi, Eshita Mazumdar
For a finite group is defined as the least positive integer such that for every sequence $S=g_1\bdot g_2\bdot \dotsc \bdot g_k$ of length over , the…
Davenport constant for finite abelian groups with higher rank
Anamitro Biswas, Eshita Mazumdar
For a finite abelian group the Davenport Constant, denoted by , is defined to be the least positive integer such that every sequence of length at least has a non…
Group-annihilator graphs realised by finite abelian groups and its properties
Eshita Mazumdar, Rameez Raja
Let be a finite abelian group viewed a -module and let be a simple graph. In this paper, we consider a graph called as a \textit{group…
The Weighted Davenport constant of a group and a related extremal problem II
Niranjan Balachandran, Eshita Mazumdar
For a finite abelian group with and an integer , Balachandran and Mazumdar \cite{BM} introduced the extremal function $\fD_G(k)$ which is defined to be $\mi…
The Weighted Davenport Constant of a group and a related extremal problem
Niranjan Balachandran, Eshita Mazumdar
For a finite abelian group written additively, and a non-empty subset the weighted Davenport Constant of with respect to the set , denoted $D_A(…
Zero sums in restricted sequences
Niranjan Balachandran, Eshita Mazumdar
A sequence $\bfx=(x_1,\ldots,x_m)$ of elements of is called an \textit{-weighted Davenport Z-sequence} if there exists $\bfa:=(a_1,\ldots,a_m)\in (A\cup\{0\})^m\setminus\…
The Harborth Constant of Dihedral Groups
Niranjan Balachandran, Eshita Mazumdar, Kevin Zhao
The Harborth constant of a finite group , denoted $\gs(G)$, is the smallest integer such that the following holds: For with , there exists $B\subseteq…