K-NARAYANA SEQUENCE SELF-SIMILARITY

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Özkan E., Kuloğlu B., Peters J. F.

hal.archives-ouvertes.fr, cilt.03242990, ss.1-21, 2021 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 03242990
  • Basım Tarihi: 2021
  • Dergi Adı: hal.archives-ouvertes.fr
  • Derginin Tarandığı İndeksler: Other Indexes
  • Sayfa Sayıları: ss.1-21
  • Marmara Üniversitesi Adresli: Hayır

Özet

This paper introduces self-similarity inherent in planar Milich centered flip graphs derived from the Narayana sequence. We show that selfsimilarity found in a Narayana sequence yields a connected spanning subgraph with a centered flip. This paper has several main results (1) Every Narayana sequence constructs a flip graph, (2) Every Narayana sequence is self-similar and (3) Every Pascal 3-triangle has a free group presentation.