{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,20]],"date-time":"2025-12-20T22:10:05Z","timestamp":1766268605002,"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>A circular Nim game is a two player impartial combinatorial game consisting of\u00a0 $n$ stacks of tokens placed in a circle. A move consists of choosing $k$ consecutive stacks, and taking at least one token from one or more of the $k$ stacks.\u00a0 The last player able to make a move wins.\u00a0 We prove results on the structure of the losing positions for small $n$ and $k$ and pose some open questions for further investigations.<\/jats:p>","DOI":"10.37236\/2765","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:12:57Z","timestamp":1578719577000},"source":"Crossref","is-referenced-by-count":4,"title":["Circular Nim Games"],"prefix":"10.37236","volume":"20","author":[{"given":"Matthieu","family":"Dufour","sequence":"first","affiliation":[]},{"given":"Silvia","family":"Heubach","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,4,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p22\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p22\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:20:58Z","timestamp":1579260058000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i2p22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,30]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2013,4,9]]}},"URL":"https:\/\/doi.org\/10.37236\/2765","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,4,30]]},"article-number":"P22"}}