{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,2]],"date-time":"2026-08-02T15:47:24Z","timestamp":1785685644018,"version":"3.56.0"},"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>A subset of an abelian group is sequenceable if there is an ordering $(x_1, \\ldots, x_k)$ of its elements such that the partial sums $(y_0, y_1, \\ldots, y_k)$, given by $y_0 = 0$ and $y_i = \\sum_{j=1}^i x_j$ for $1 \\leq i \\leq k$, are distinct, with the possible exception that we may have $y_k = y_0 = 0$. \u00a0 We demonstrate the sequenceability of subsets of size $k$ of $\\mathbb{Z}_n \\setminus \\{ 0 \\}$ when $n = mt$ in many cases, including when $m$ is either prime or has all prime factors larger than $k! \/2$ for $k \\leq 11$ and $t \\leq 5$ and for $k=12$ and $t \\leq 4$.\u00a0 We obtain similar, but partial, results for $13 \\leq k \\leq 15$. \u00a0 This represents progress on a variety of questions and conjectures in the literature concerning the sequenceability of subsets of abelian groups, which we combine and summarize into the conjecture that if a subset of an abelian group does not\u00a0 contain $0$ then it is sequenceable.<\/jats:p>","DOI":"10.37236\/11160","type":"journal-article","created":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T18:29:15Z","timestamp":1660242555000},"source":"Crossref","is-referenced-by-count":6,"title":["On Sequences in Cyclic Groups with Distinct Partial Sums"],"prefix":"10.37236","volume":"29","author":[{"given":"Simone","family":"Costa","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefano","family":"Della Fiore","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. A.","family":"Ollis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sarah Z.","family":"Rovner-Frydman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"23455","published-online":{"date-parts":[[2022,8,12]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v29i3p33\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v29i3p33\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T18:29:15Z","timestamp":1660242555000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v29i3p33"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,12]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,7,1]]}},"URL":"https:\/\/doi.org\/10.37236\/11160","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,12]]},"article-number":"P3.33"}}