{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:33:35Z","timestamp":1760441615889,"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 spanning tree $T$ in a finite planar connected graph $G$ determines a dual spanning tree $T^*$ in the dual graph $G^*$ such that $T$ and $T^*$ do not intersect.  We show that it is not always possible to find $T$ in $G$ such that the diameters of $T$ and $T^*$ are both within a uniform multiplicative constant (independent of $G$) of the diameters of their ambient graphs.<\/jats:p>","DOI":"10.37236\/1151","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:58:45Z","timestamp":1578718725000},"source":"Crossref","is-referenced-by-count":5,"title":["The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs"],"prefix":"10.37236","volume":"13","author":[{"given":"T. R.","family":"Riley","sequence":"first","affiliation":[]},{"given":"W. P.","family":"Thurston","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,8,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1n13\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1n13\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:08:06Z","timestamp":1579320486000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1n13"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,8,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1151","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,8,25]]},"article-number":"N13"}}