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Title: Morphic primitivity and alphabet reductions
Authors: Nevisi, Hossein
Reidenbach, Daniel
Keywords: Combinatorics on words
Morphisms
Ambiguity
Morphic primitivity
Fixed points
Billaud's Conjecture
Issue Date: 2012
Publisher: © Springer-Verlag Berlin Heidelberg 2012
Citation: NEVISI, H. and REIDENBACH, D., 2012. Morphic primitivity and alphabet reductions. IN: Yen, H.-C. and Ibarra, O.H. (eds.). Developments in Language Theory: 16th International Conference, DLT 2012 Taipei, Taiwan, August 14-17, 2012 Proceedings. Lecture Notes In Computer Science; 7410, pp. 440-451.
Series/Report no.: Lecture Notes In Computer Science;7410
Abstract: An alphabet reduction is a 1-uniform morphism that maps a word to an image that contains a smaller number of dfferent letters. In the present paper we investigate the effect of alphabet reductions on morphically primitive words, i. e., words that are not a fixed point of a nontrivial morphism. Our first main result answers a question on the existence of unambiguous alphabet reductions for such words, and our second main result establishes whether alphabet reductions can be given that preserve morphic primitivity. In addition to this, we study Billaud's Conjecture - which features a dfferent type of alphabet reduction, but is otherwise closely related to the main subject of our paper - and prove its correctness for a special case.
Description: The final publication is available at www.springerlink.com.
Version: Accepted for publication
DOI: 10.1007/978-3-642-31653-1_39
URI: https://dspace.lboro.ac.uk/2134/10119
Publisher Link: http://dx.doi.org/10.1007/978-3-642-31653-1_39
ISBN: 978-3-642-31652-4
ISSN: 0302-9743
Appears in Collections:Conference Papers (Computer Science)

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