{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T14:08:21Z","timestamp":1760710101129,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We will say that an Abelian group $\\Gamma$ of order $n$ has the $m$-zero-sum-partition property ($m$-ZSP-property) if $m$ divides $n$, $m\\geq 2$ and there is a partition of $\\Gamma$ into pairwise disjoint subsets $A_1, A_2,\\ldots , A_t$, such that $|A_i| = m$ and $\\sum_{a\\in A_i}a = g_0$ for $1 \\leq i \\leq t$, where $g_0$ is the identity element of $\\Gamma$.In this paper we study the $m$-ZSP property of $\\Gamma$. We show that $\\Gamma$ has the $m$-ZSP property if and only if $m\\geq 3$ and $|\\Gamma|$ is odd or $\\Gamma$ has more than one involution. We will apply the results to the study of group distance magic graphs as well as to generalized Kotzig arrays.<\/jats:p>","DOI":"10.37236\/6977","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:41:21Z","timestamp":1578670881000},"source":"Crossref","is-referenced-by-count":6,"title":["Zero Sum Partition of Abelian Groups into Sets of the Same Order and its Applications"],"prefix":"10.37236","volume":"25","author":[{"given":"Sylwia","family":"Cichacz","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,1,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i1p20\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i1p20\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:40:57Z","timestamp":1579236057000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i1p20"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,1,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2018,1,12]]}},"URL":"https:\/\/doi.org\/10.37236\/6977","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2018,1,25]]},"article-number":"P1.20"}}