Extremal sequences for a particular weighted zero-sum constant
Year: 2021
Type: preprint
Abstract: For an abelian group $G$, the constant $C(G)$ is defined to be the smallest natural number $k$, such that, any sequence of $k$ elements in $G$ has a subsequence of consecutive terms whose sum is zero (the identity element). We characterize the extremal sequences for a weighted version of this constant for some particular weights for a finite cyclic group.
Source: arXiv (Cornell University)
Authors: Santanu Mondal, Krishnendu Paul, Shameek Paul
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3209654354