Enumerating the k best plane spanning trees

Citations of this article
Mendeley users who have this article in their library.


A spanning tree constructed of straight line segments over a set of points in the Euclidean plane is called "non-crossing" or "plane tree", if no two segments intersect. Imposing the additional constraint of non-crossing segments makes many combinatorial geometric problems harder. In the case of plane spanning trees, however, we show that they can be enumerated efficiently in the order of their total length. This makes it possible to efficiently find the k best plane trees, or all those shorter than a given bound. © 2001 Elsevier Science B.V.




Marzetta, A., & Nievergelt, J. (2001). Enumerating the k best plane spanning trees. Computational Geometry: Theory and Applications, 18(1), 55–64. https://doi.org/10.1016/S0925-7721(00)00029-8

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free