{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:00Z","timestamp":1753893840360,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>A graph is crossing-critical if the removal of any of its edges decreases its crossing\u00a0number. This work is motivated by the following question: to what extent is crossing-criticality a property that is inherent to the structure of a graph, and to what extent\u00a0can it be induced on a noncritical graph by multiplying (all or some of) its edges?\u00a0It is shown that if a nonplanar graph $G$ is obtained by adding an edge to a cubic\u00a0polyhedral graph, and $G$ is sufficiently connected, then $G$ can be made crossing-critical\u00a0by a suitable multiplication of edges.<\/jats:p>","DOI":"10.37236\/2712","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:56:55Z","timestamp":1578711415000},"source":"Crossref","is-referenced-by-count":1,"title":["Making a Graph Crossing-Critical by Multiplying its Edges"],"prefix":"10.37236","volume":"20","author":[{"given":"Laurent","family":"Beaudou","sequence":"first","affiliation":[]},{"given":"C\u00e9sar","family":"Hern\u00e1ndez-V\u00e9lez","sequence":"additional","affiliation":[]},{"given":"Gelasio","family":"Salazar","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,3,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p61\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p61\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:25:13Z","timestamp":1579260313000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i1p61"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,24]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2013,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2712","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,3,24]]},"article-number":"P61"}}