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Zero-sum partitions of Abelian groups and their applications to magic- and antimagic-type labelings

The following problem has been known since the 80s. Let $\Gamma$ be an Abelian group of order $m$ (denoted $|\Gamma|=m$), and let $t$ and $\{m_i\}_{i=1}^{t}$, be positive integers such that $\sum_{i=1}^t m_i=m-1$. Determine when $\Gamma^*=\Gamma\setminus\{0\}$, the set of non-zero elements of $\Gamm...

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Autors principals: Sylwia Cichacz, Karol Suchan
Format: Artigo
Idioma:Inglês
Publicat: Discrete Mathematics & Theoretical Computer Science 2024-10-01
Col·lecció:Discrete Mathematics & Theoretical Computer Science
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Accés en línia:http://dmtcs.episciences.org/12361/pdf
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