{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:55Z","timestamp":1753893835004,"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>Ehrenborg and Steingr\u00edmsson defined simplicial Nim,  and defined Nim-regular complexes to be simplicial complexes  for which simplicial Nim has a particular type of winning  strategy.  We completely characterize the Nim-regular graphs  by the exclusion of two vertex-induced subgraphs, the graph  on three vertices with one edge and the graph on five vertices  which is complete except for one missing edge.  We show that  all Nim-regular graphs have as their basis the set of disjoint  unions of circuits (minimal non-faces) of the graph.<\/jats:p>","DOI":"10.37236\/1443","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:01:30Z","timestamp":1578708090000},"source":"Crossref","is-referenced-by-count":0,"title":["Nim-Regularity of Graphs"],"prefix":"10.37236","volume":"6","author":[{"given":"Nathan","family":"Reading","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1999,1,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v6i1r11\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v6i1r11\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:33:46Z","timestamp":1579325626000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v6i1r11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,1,22]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1999,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1443","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1999,1,22]]},"article-number":"R11"}}