{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T06:20:38Z","timestamp":1775802038902,"version":"3.50.1"},"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>In 1991, Bollob\u00e1s and Frieze showed that the threshold for $G_{n,p}$ to contain a spanning maximal planar subgraph is very close to $p = n^{-1\/3}$. In this paper, we compute similar threshold ranges for $G_{n,p}$ to contain a maximal bipartite planar subgraph and for $G_{n,p}$ to contain a maximal planar subgraph of fixed girth $g$.\u00a0<\/jats:p>","DOI":"10.37236\/7114","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:24:25Z","timestamp":1578669865000},"source":"Crossref","is-referenced-by-count":1,"title":["Maximal Planar Subgraphs of Fixed Girth in Random Graphs"],"prefix":"10.37236","volume":"25","author":[{"given":"Manuel","family":"Fern\u00e1ndez","sequence":"first","affiliation":[]},{"given":"Nicholas","family":"Sieger","sequence":"additional","affiliation":[]},{"given":"Michael","family":"Tait","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,6,8]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i2p45\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i2p45\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:31:54Z","timestamp":1579235514000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i2p45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,8]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2018,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/7114","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,8]]},"article-number":"P2.45"}}