APPLICATION OF ZERO-SUM SETS IN MAGIC-TYPE AND ANTIMAGIC-TYPE GRAPH LABELING

Abstract: Let $(\Gamma,+)$ be an Abelian group. A subset $S$ of $\Gamma$ is called a \textit{zero-sum subset} if $\sum_{a\in S} a=0$. One of the key topics in zero-sum theory is the study of disjoint zero-sum subsets in $\Gamma$. This approach was inspired by Steiner triples research and started by Skolem. \\

Interestingly, certain magic-type and antimagic-type graph labelings are closely related to disjoint zero-sum subsets in $\Gamma$. In this talk, we will explore some of these connections.

Computer scienceMathematics

Audience: researchers in the topic

Combinatorics Today Series - ITB

Series comments: This series aims to discuss the latest developments and advances in the field of combinatorics and graph theory, presented by world–renowned researchers. This series is organized fortnightly by the Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia. Students, lecturers and researchers in the fields of combinatorics, mathematics in general and others are welcome to attend this series.