@techreport{TR-IC-09-30, number = {IC-09-30}, author = {Pedro Cipriano Feijão and João Meidanis}, title = {Genome Rearrangement Phylogeny using the Single-Cut-or-Join operation}, month = {September}, year = {2009}, institution = {Institute of Computing, University of Campinas}, note = {In English, 9 pages. \par\selectlanguage{english}\textbf{Abstract} The problem of parsimonious phylogeny reconstruction using genome rearrangement is called Multiple Genome Rearrangement Problem. There are two usual approaches: the small phylogeny problem, where a tree is given and we want to find the ancestral nodes that minimize total branch length of the tree; and the big phylogeny problem, finding the tree and ancestral nodes with minimum total branch length. In this paper we show that, under the Single-Cut-or-Join metric, the small phylogeny problem is solvable in polynomial time while the big phylogeny problem is NP-hard. } }