On Suborbital Graphs for the Extended Modular Group (Gamma)over-cap

Kader S., Guler B. Ö.

GRAPHS AND COMBINATORICS, vol.29, no.6, pp.1813-1825, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 6
  • Publication Date: 2013
  • Doi Number: 10.1007/s00373-012-1226-3
  • Journal Name: GRAPHS AND COMBINATORICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1813-1825
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we show that the extended modular group acts on transitively and imprimitively. Then the number of orbits of on is calculated and compared with the number of orbits of on . Especially, we obtain the graphs of on , for each and each unit , then we determine the suborbital graph . We also give the edge conditions in and the necessary and sufficient conditions for a circuit to be triangle in (F) over cap (u,N).