On constant sum partitions and applications to distance magic-type graphs
| Autor: | Bryan Freyberg |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | AKCE International Journal of Graphs and Combinatorics, Vol 17, Iss 1, Pp 373-379 (2020) |
| Druh dokumentu: | article |
| ISSN: | 0972-8600 2543-3474 |
| DOI: | 10.1016/j.akcej.2019.02.003 |
| Popis: | Let be an additive abelian group of order and let be a partition of where A constant sum partition (or -sum partition) of is a pairwise disjoint union of subsets such that and for some fixed and every In 2009, Kaplan, Lev, and Roditty proved that a 0-sum partition of the cyclic group exists for odd if and only if In this paper, we address the case when is even. In particular, we show that a -sum partition of exists for even and odd if and only if Moreover, we provide applications to distance magic-type graphs including the classification of -distance magic complete -partite graphs for odd. |
| Databáze: | Directory of Open Access Journals |
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