{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T11:18:22Z","timestamp":1769512702393,"version":"3.49.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $G$ be a finite abelian group of exponent $\\exp(G)$. By $D(G)$ we denote the smallest integer $d\\in \\mathbb N$ such that every sequence over $G$ of length at least $d$ contains a nonempty zero-sum subsequence. By $\\eta(G)$ we denote the smallest integer $d\\in \\mathbb N$ such that every sequence over $G$ of length at least $d$ contains a zero-sum subsequence $T$ with length $|T|\\in [1,\\exp(G)]$, such a sequence $T$ will be called a short zero-sum sequence. Let $C_0(G)$ denote the set consists of all integer $t\\in [D(G)+1,\\eta(G)-1]$ such that every zero-sum sequence of length exactly $t$ contains a short zero-sum subsequence. In this paper, we investigate the question whether $C_0(G)\\neq \\emptyset$ for all non-cyclic finite abelian groups $G$. Previous results showed that $C_0(G)\\neq \\emptyset$ for the groups $C_n^2$ ($n\\geq 3$) and $C_3^3$. We show that more groups including the groups $C_m\\oplus C_n$ with $3\\leq m\\mid n$, $C_{3^a5^b}^3$, $C_{3\\times 2^a}^3$, $C_{3^a}^4$ and $C_{2^b}^r$ ($b\\geq 2$) have this property. We also determine $C_0(G)$ completely\u00a0 for some groups including the groups of rank two, and some special groups with large exponent.<\/jats:p>","DOI":"10.37236\/2602","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T07:11:27Z","timestamp":1578726687000},"source":"Crossref","is-referenced-by-count":3,"title":["On Short Zero-Sum Subsequences of Zero-Sum Sequences"],"prefix":"10.37236","volume":"19","author":[{"given":"Yushuang","family":"Fan","sequence":"first","affiliation":[]},{"given":"Weidong","family":"Gao","sequence":"additional","affiliation":[]},{"given":"Guoqing","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Qinghai","family":"Zhong","sequence":"additional","affiliation":[]},{"given":"Jujuan","family":"Zhuang","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,9,6]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i3P31\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i3P31\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:31:07Z","timestamp":1579300267000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i3P31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9,6]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2012,7,12]]}},"URL":"https:\/\/doi.org\/10.37236\/2602","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,6]]},"article-number":"P31"}}