K-NARAYANA SEQUENCE SELF-SIMILARITY

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Özkan E., Kuloğlu B., Peters J. F.

hal.archives-ouvertes.fr, vol.03242990, pp.1-21, 2021 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 03242990
  • Publication Date: 2021
  • Journal Name: hal.archives-ouvertes.fr
  • Journal Indexes: Other Indexes
  • Page Numbers: pp.1-21
  • Open Archive Collection: AVESIS Open Access Collection
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

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.