{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:03:24Z","timestamp":1759147404019,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>For the partition $x=[x_1\\ge x_2\\ge \\cdots\\ge x_k]$ of the integer  $n=\\sum_{i}\\, x_{i}$ a $t$-deletion  is a partition $y=[y_1\\ge y_2\\ge \\cdots\\ge y_k]$ with $x_{i}\\geq y_{i}\\geq 0$ and $\\sum_{i}\\, (x_{i}-y_{i})=t$. We prove that all partitions of $n$ are reconstructible from their $t$\u2013deletions if $n$ is sufficiently large in relation to $t$.<\/jats:p>","DOI":"10.37236\/1892","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:17:44Z","timestamp":1578719864000},"source":"Crossref","is-referenced-by-count":2,"title":["Reconstruction of Partitions"],"prefix":"10.37236","volume":"11","author":[{"given":"Oliver","family":"Pretzel","sequence":"first","affiliation":[]},{"given":"Johannes","family":"Siemons","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2005,9,28]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2n5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2n5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:40:53Z","timestamp":1579322453000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i2n5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,9,28]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2004,6,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1892","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2005,9,28]]},"article-number":"N5"}}