K-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity

ÖZKAN E., Kuloǧlu B., Peters J. F.

Chaos, Solitons and Fractals, cilt.153, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.chaos.2021.111473
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Flip graphs, K-Narayana sequence, Pascal 3-triangle, Planar graph, Self-Similarity
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

© 2021This paper introduces self-similarity inherent in planar Milich-Jennings centered flip graphs derived from the Narayana sequence. We show that self-similarity 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.