Vertices of Paths of Minimal Lengths on Suborbital Graphs

Creative Commons License

DEĞER A. H.

FILOMAT, vol.31, no.4, pp.913-923, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1704913d
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.913-923
  • Keywords: Imprimitive Action, Suborbital Graphs, Continued Fractions, CONTINUED FRACTIONS
  • Karadeniz Technical University Affiliated: Yes

Abstract

The Modular group Gamma acts on the set of extended rational numbers Q transitively. Here, our main purpose is to examine some properties of hyperbolic paths of minimal lengths in the suborbital graphs for Gamma. We characterize all vertices of these hyperbolic paths in the suborbital graphs which are trees.