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===Halin graphs=== A [[Halin graph]] is a graph formed from an undirected plane tree (with no degree-two nodes) by connecting its leaves into a cycle, in the order given by the plane embedding of the tree. Equivalently, it is a [[polyhedral graph]] in which one face is adjacent to all the others. Every Halin graph is planar. Like outerplanar graphs, Halin graphs have low [[treewidth]], making many algorithmic problems on them more easily solved than in unrestricted planar graphs.<ref>{{citation | last1 = Sysło | first1 = Maciej M. | last2 = Proskurowski | first2 = Andrzej | contribution = On Halin graphs | doi = 10.1007/BFb0071635 | pages = 248–256 | publisher = Springer-Verlag | series = Lecture Notes in Mathematics | title = Graph Theory: Proceedings of a Conference held in Lagów, Poland, February 10–13, 1981 | volume = 1018 | isbn = 978-3-540-12687-4 | year = 1983}}.</ref>
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