{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T22:13:45Z","timestamp":1777760025523,"version":"3.51.4"},"reference-count":13,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,11]],"date-time":"2006-10-11T00:00:00Z","timestamp":1160524800000},"content-version":"vor","delay-in-days":4485,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Random Struct Algorithms"],"published-print":{"date-parts":[[1994,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It is well\u2010known that not all instances of the stable roommates problem admit a stable matching. Here we establish the first nontrivial upper bound on the limiting behavior of <jats:italic>P<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>, the probability that a random roommates instance of size <jats:italic>n<\/jats:italic> has a stable matching, namely, <jats:styled-content>lim<\/jats:styled-content><jats:sub><jats:italic>n<\/jats:italic>\u2192\u221e<\/jats:sub> <jats:italic>P<\/jats:italic><jats:italic>n<\/jats:italic>\u2a7d <jats:italic>e<\/jats:italic><jats:sup>1\/2<\/jats:sup>\/2 (=0.8244\u2026). \u00a9 1994 John Wiley &amp; Sons, Inc.<\/jats:p>","DOI":"10.1002\/rsa.3240050307","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T18:46:40Z","timestamp":1180205200000},"page":"465-486","source":"Crossref","is-referenced-by-count":27,"title":["An upper bound for the solvability probability of a random stable roommates instance"],"prefix":"10.1002","volume":"5","author":[{"given":"Boris G.","family":"Pittel","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert W.","family":"Irving","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Probability","author":"Breiman L.","year":"1968"},{"key":"e_1_2_1_3_2","volume-title":"Probability: Theory and Examples","author":"Durrett R.","year":"1991"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/2312726"},{"key":"e_1_2_1_5_2","volume-title":"The Stable Marriage Problem: Structure and Algorithms","author":"Gusfield D.","year":"1989"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0196-6774(85)90033-1"},{"key":"e_1_2_1_7_2","unstructured":"R. W.Irving On the stable roommates problem Technical Report CSC\/86\/R5 University of Glasgow 1986."},{"key":"e_1_2_1_8_2","unstructured":"D. E.Knuth Mariages Stables Les Presses de l'Universit\u00e9 de Montr\u00e9al Montreal 1976."},{"key":"e_1_2_1_9_2","unstructured":"B.Pittel On a random instance of a stable roommates problem: likely behavior of the proposal algorithm Combinat. Prob. Comput. Submitted."},{"key":"e_1_2_1_10_2","article-title":"The stable roommates problem with random preferences","author":"Pittel B.","journal-title":"Ann Probab."},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1137\/0402048"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1177005708"},{"key":"e_1_2_1_13_2","unstructured":"J. J. M.Tan A generalization of the stable matching problem submitted for publication."},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/0196-6774(91)90028-W"}],"container-title":["Random Structures &amp; Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Frsa.3240050307","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/rsa.3240050307","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,25]],"date-time":"2023-10-25T03:37:41Z","timestamp":1698205061000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/rsa.3240050307"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,7]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1994,7]]}},"alternative-id":["10.1002\/rsa.3240050307"],"URL":"https:\/\/doi.org\/10.1002\/rsa.3240050307","archive":["Portico"],"relation":{},"ISSN":["1042-9832","1098-2418"],"issn-type":[{"value":"1042-9832","type":"print"},{"value":"1098-2418","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,7]]}}}