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20182024
most citedCombinatorial invariants for certain classes of non-abelian groups

1 citations · 1 across the 5 of their papers we have counts for

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math.CO2024★ 1 cited

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 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…

math.CO2021

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…

math.CO2019

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…

math.CO2018

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(…

math.CO2018

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…