Eshita Mazumdar

activity

20182024

collaborators

8 papers

math.CO2024

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…

math.CO2024

An algebraic approach towards a conjecture on the Davenport constant

Naveen K. Godara, Renu Joshi, Eshita Mazumdar

For a finite group $G,$ $D (G)$ is defined as the least positive integer $k$ such that for every sequence $S=g_1\bdot g_2\bdot \dotsc \bdot g_k$ of length $k$ over $G$ , the…

math.NT2024

Davenport constant for finite abelian groups with higher rank

Anamitro Biswas, Eshita Mazumdar

For a finite abelian group $G,$ the Davenport Constant, denoted by $D (G)$ , is defined to be the least positive integer $k$ such that every sequence of length at least $k$ has a non…

math.CO2021

Group-annihilator graphs realised by finite abelian groups and its properties

Eshita Mazumdar, Rameez Raja

Let $G$ be a finite abelian group viewed a $Z$ -module and let $G = (V, E)$ be a simple graph. In this paper, we consider a graph $Γ (G)$ called as a \textit{group…

math.CO2019

The Weighted Davenport constant of a group and a related extremal problem II

Niranjan Balachandran, Eshita Mazumdar

For a finite abelian group $G$ with $exp (G) = n$ and an integer $k \geq 2$ , Balachandran and Mazumdar \cite{BM} introduced the extremal function $\fD_G(k)$ which is defined to be $\mi…

math.CO2018

The Weighted Davenport Constant of a group and a related extremal problem

Niranjan Balachandran, Eshita Mazumdar

For a finite abelian group $G$ written additively, and a non-empty subset $A \subset [1, exp (G) - 1]$ the weighted Davenport Constant of $G$ with respect to the set $A$ , denoted $D_A(…