FILOMAT, cilt.30, sa.3, ss.593-602, 2016 (SCI-Expanded)
In this paper we examine some properties of suborbital graphs for the group SL*(3, Z). We first introduce an invariant equivalence relation by using the congruence subgroup SL*(3, Z) instead of Gamma(0)(n) and obtain some results for the newly constructed subgraphs F-u,F-n whose vertices form the block [infinity]. We obtain edge and circuit conditions and some relations between lengths of circuits in F-u,F- n and elliptic elements of Gamma(0)(n).