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International Journal of Computer Mathematics Volume 87, 2010 - Issue 15
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Section A

Some properties of involution palindrome languages

Chen-Ming Fan Department of Information Management, National Chin-Yi University of Technology, Taiping, Taichung, Taiwan, 411, Republic of China
&
C. C. Huang Department of Applied Information Sciences, Chung Shan Medical University, Taichung, Taiwan, 402, Republic of China; Information Technology Office, Chung Shan Medical University Hospital, Taichung, Taiwan, 402, Republic of ChinaCorrespondence[email protected]
Pages 3397-3404 | Received 17 Aug 2009, Accepted 11 Nov 2009, Published online: 04 Nov 2010
 
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Abstract

This paper extends the understanding of involution palindrome words (θ-palindrome words). This notion is motivated by the DNA strand design in the area of biocomputing where the Watson–Crick complementarity can be abstracted as an antimorphic involution function. A language consisting of involution palindrome words is defined as an involution palindrome language. Some properties of involution palindrome words and languages are surveyed in this paper. Besides involution palindrome words being considered, some algebraic properties of skew involution palindrome words are studied as well. Furthermore, we exhibit certain characteristics of non-involution palindrome words.

2000 AMS Subject Classification :

Acknowledgements

The authors would like to thank the referees for their careful reading of the manuscript and useful suggestions.

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