@article{veanes1996construction, author = {Veanes, Margus and Barklund, Jonas}, title = {Construction of natural cycletrees}, year = {1996}, month = {January}, abstract = {In this article, the following question is answered: Given a cycle C, of size N, how can one compute, in O(N) time, a minimal set of edges E such that adjoining E to the cycle yields a graph with a binary spanning tree having minimal total path length? The answer is given through an algorithm for top-down construction of natural cycletrees, where the structure of each subtree is restricted by a split relation between certain properties of the subtree.}, publisher = {Elsevier}, url = {http://approjects.co.za/?big=en-us/research/publication/construction-of-natural-cycletrees/}, pages = {313-318}, journal = {Information Processing Letters}, volume = {60}, edition = {Information Processing Letters}, }