Journal of Mathematical Chemistry

, Volume 51, Issue 10, pp 2644–2653 | Cite as

Selfcomplementary, selfreverse cyclic nucleotide sequences codonically invariant under frame shifting

  • Vladimir R. Rosenfeld
Original Paper


A cyclic nucleotide sequence is selfcomplementary if some circular permutation transfers it to a complementary sequence and (independently) is selfreverse if the cyclic order of nucleotides in both directions is the same. Moreover, it is codonically invariant under frame shifting if any shift of its frame does not alter the content and cyclic order of codons. We discuss sequences which may simultaneously have these three properties and exhibit color symmetry. Our considerations are also adapted for respective linear sequences.


Nucleotide sequence Frame shift Circular permutation  Complementary strands Selfcomplementary nucleotide sequence  Selfreverse nucleotide sequence Nucleotide sequence codonically invariant under frame shifting Color symmetry 



We thank Prof. Yannis Almirantis (Athens, Greece) for his bibliographic assistance. The support of the Welch Foundation of Houston, Texas (via grant BD–0894) is acknowledged.


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Mathematical Chemistry Group, Department of Marine Sciences Texas A&M University at GalvestonGalvestonUSA
  2. 2.Instituto de Ciencias Matematicas (ICMAT) CSICC/ Nicolás CabreraMadridSpain

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