{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:46Z","timestamp":1753893826839,"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>Simplicial Nim, introduced by Ehrenborg and Steingr\u00edmsson, is a generalization of the classical two-player game of Nim.  The heaps are placed on the vertices of a simplicial complex and a player's move may affect any number of piles provided that the corresponding vertices form a face of the complex.  In this paper, we present properties of a complex that are equivalent to the $\\cal P$-positions (winning positions for the second player) being closed under addition.  We provide examples of such complexes and answer a number of open questions posed by Ehrenborg and Steingr\u00edmsson.<\/jats:p>","DOI":"10.37236\/356","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:12:46Z","timestamp":1578715966000},"source":"Crossref","is-referenced-by-count":0,"title":["Winning Positions in Simplicial Nim"],"prefix":"10.37236","volume":"17","author":[{"given":"David","family":"Horrocks","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2010,6,7]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r84\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v17i1r84\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:51:02Z","timestamp":1579305062000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v17i1r84"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,7]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2010,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/356","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2010,6,7]]},"article-number":"R84"}}