{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T06:20:27Z","timestamp":1648794027310},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2001,12,10]],"date-time":"2001-12-10T00:00:00Z","timestamp":1007942400000},"content-version":"unspecified","delay-in-days":100,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2001,9]]},"abstract":"<jats:p>We generalize a minimal 3-connectivity result of Halin from graphs to binary matroids. As \napplications of this theorem to minimally 3-connected matroids, we obtain new results and \nshort inductive proofs of results of Oxley and Wu. We also give new short inductive proofs \nof results of Dirac and Halin on minimally <jats:italic>k<\/jats:italic>-connected graphs for <jats:italic>k<\/jats:italic> \u2208 {2,3}.<\/jats:p>","DOI":"10.1017\/s0963548301004850","type":"journal-article","created":{"date-parts":[[2008,7,28]],"date-time":"2008-07-28T06:00:45Z","timestamp":1217224845000},"page":"453-461","source":"Crossref","is-referenced-by-count":4,"title":["On Minimally 3-Connected Binary Matroids"],"prefix":"10.1017","volume":"10","author":[{"given":"TALMAGE JAMES","family":"REID","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HAIDONG","family":"WU","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2001,12,10]]},"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548301004850","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,30]],"date-time":"2019-03-30T15:15:43Z","timestamp":1553958943000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548301004850\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,9]]},"references-count":0,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2001,9]]}},"alternative-id":["S0963548301004850"],"URL":"https:\/\/doi.org\/10.1017\/s0963548301004850","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,9]]}}}