{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:26:31Z","timestamp":1759638391693,"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.S. Fraenkel introduced a new $(s,t)$-Wythoff's game which is a\u00a0generalization of both Wythoff's game and $a$-Wythoff's game. Four new models of a restricted version of $(s,t)$-Wythoff's game,\u00a0Odd-Odd $(s,t)$-Wythoff's Game, Even-Even\u00a0$(s,t)$-Wythoff's Game,\u00a0Odd-Even $(s,t)$-Wythoff's Game and Even-Odd $(s,t)$-Wythoff's Game, are investigated.\u00a0Under normal or mis\u00e8re play conventions, all $P$-positions of these four models are\u00a0given for arbitrary integers $s,t\\geq 1$. For Even-Even $(s,t)$-Wythoff's Game, the structure of $P$-positions is given by recursive characterizations in terms of the mex function. For other models, the structures of $P$-positions are of algebraic form, which permit us to decide in polynomial time whether or not a given game position $(a,b)$ is a $P$-position.<\/jats:p>","DOI":"10.37236\/2963","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:04:06Z","timestamp":1578704646000},"source":"Crossref","is-referenced-by-count":11,"title":["General Restriction of $(s,t)$-Wythoff's Game"],"prefix":"10.37236","volume":"21","author":[{"given":"Wen An","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haiyan","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2014,6,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p44\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:58:46Z","timestamp":1579258726000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i2p44"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,6,9]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2014,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/2963","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2014,6,9]]},"article-number":"P2.44"}}