{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:02Z","timestamp":1753893842708,"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>A planar set $P$ is said to be cover-decomposable\u00a0if there is a constant $k=k(P)$ such that\u00a0every $k$-fold covering of the plane with translates of $P$\u00a0can be decomposed into two coverings. It is known that open convex polygons\u00a0are cover-decomposable. Here we show that\u00a0closed, centrally symmetric convex polygons are also cover-decomposable. We also show that an infinite-fold covering of the plane\u00a0with translates of $P$\u00a0can be decomposed into two infinite-fold coverings.\u00a0Both results hold for coverings of any subset of the plane. <\/jats:p>","DOI":"10.37236\/4227","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:33:04Z","timestamp":1578702784000},"source":"Crossref","is-referenced-by-count":0,"title":["Multiple Coverings with Closed Polygons"],"prefix":"10.37236","volume":"22","author":[{"given":"Istv\u00e1n","family":"Kov\u00e1cs","sequence":"first","affiliation":[]},{"given":"G\u00e9za","family":"T\u00f3th","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,1,27]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p18\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p18\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:37:59Z","timestamp":1579257479000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i1p18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1,27]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4227","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,1,27]]},"article-number":"P1.18"}}