Liu, JLMinnes, MAgrawal,2011-11-272012-02-012011-11-272012-02-012011-04-152011-04-15Theoretical Computer Science, vol.412(18), pp.1705 - 17170304-3975https://hdl.handle.net/10292/3333We solve the isomorphism problem for certain classes of unary automatic structures: unary automatic equivalence relations, unary automatic linear orders, and unary automatic trees. That is, we provide algorithms which decide whether two given elements of these classes are isomorphic. In doing so, we define new finite representations for these structures which give normal forms.Copyright © 2011 Elsevier Ltd. All rights reserved. This is the author’s version of a work that was accepted for publication in (see Citation). Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. The definitive version was published in (see Citation). The original publication is available at (see Publisher's Version)Unary automatic structuresThe isomorphism problemGraphsJournal ArticleOpenAccess10.1016/j.tcs.2010.12.045