Details

Autor(en) / Beteiligte

• Fimmel, Elena
• Michel, Christian J.
• Strüngmann, Lutz

Titel

Circular mixed sets

Ist Teil von

• BioSystems, 2023-07, Vol.229, p.104906-104906, Article 104906

Ort / Verlag

Ireland: Elsevier B.V

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this article, we introduce the new mathematical concept of circular mixed sets of words over an arbitrary finite alphabet. These circular mixed sets may not be codes in the classical sense and hence allow a higher amount of information to be encoded. After describing their basic properties, we generalize a recent graph theoretical approach for circularity and apply it to distinguish codes from sets (i.e. non-codes). Moreover, several methods are given to construct circular mixed sets. Finally, this approach allows us to propose a new evolution model of the present genetic code that could have evolved from a dinucleotide world to a trinucleotide world via circular mixed sets of dinucleotides and trinucleotides.