On suborbital graphs for some Hecke groups


Keskin R.

DISCRETE MATHEMATICS, vol.234, pp.53-64, 2001 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 234
  • Publication Date: 2001
  • Doi Number: 10.1016/s0012-365x(00)00191-6
  • Title of Journal : DISCRETE MATHEMATICS
  • Page Numbers: pp.53-64

Abstract

In this paper, we examine some properties of suborbital graphs for the Hecke groups T, H(root2), and H(root3) on (Q) over cap, root2 (Q) over cap, and root3 (Q) over cap, respectively. In addition, we give necessary and sufficient conditions for the suborbital graph G(infinity,(u/n)rootm) to be a forest. Finally, we completely find the number of sides of all the circuits in the suborbital graphs. (C) 2001 Elsevier Science B.V. All rights reserved.