Suborbital graphs for the group Gamma(2)
Citation
Guler, B.O., Besenk, M., Kesicioglu, Y., Deger, A.H. (2015). Suborbital graphs for the group Gamma(2). Hacettepe Journal of Mathematics and Statistics, 44(5), 1033-1044.Abstract
In this paper, we investigate suborbital graphs formed by the action of 2 which is the group generated by the second powers of the elements of the modular group Gamma on (Q) over cap Q. Firstly, conditions for being an edge, self-paired and paired graphs are provided, then we give necessary and sufficient conditions for the suborbital graphs to contain a circuit and to be a forest. Finally, we examine the connectivity of the subgraph F-u,(N) and show that it is connected if and only if N <= 2.
