Vertices of Paths of Minimal Lengths on Suborbital Graphs

Ali Hikmet Deger


The Modular group \Gamma acts on the set of extended rational numbers ˆQ 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.

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