{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T15:32:54Z","timestamp":1760369574251,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We find precise asymptotic estimates for the number of planar maps and graphs with a condition on the minimum degree, and properties of random graphs from these classes. In particular we show that the size of the largest tree attached to the core of a random planar graph is of order $c \\log(n)$ for an explicit constant $c$. These results provide new information on the structure of random planar graphs.<\/jats:p>","DOI":"10.37236\/7640","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T15:05:31Z","timestamp":1578668731000},"source":"Crossref","is-referenced-by-count":1,"title":["Random Planar Maps and Graphs with Minimum Degree Two and Three"],"prefix":"10.37236","volume":"25","author":[{"given":"Marc","family":"Noy","sequence":"first","affiliation":[]},{"given":"Lander","family":"Ramos","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2018,10,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i4p5\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v25i4p5\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:25:43Z","timestamp":1579235143000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v25i4p5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,5]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,10,5]]}},"URL":"https:\/\/doi.org\/10.37236\/7640","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2018,10,5]]},"article-number":"P4.5"}}