@article { author = {Jin, W.}, title = {Two-geodesic transitive graphs of prime power order}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {6}, pages = {1645-1655}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {In a non-complete graph $\Gamma$, a vertex triple $(u,v,w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$-geodesic if $uneq w$ and $u,w$ are not adjacent. The graph $\Gamma$ is said to be   $2$-geodesic transitive if its automorphism group is transitive on arcs, and also on 2-geodesics. We first produce a reduction theorem for the family of $2$-geodesic transitive graphs of prime power order. Next, we classify such graphs which are also vertex quasiprimitive.}, keywords = {2-geodesic transitive graph‎,‎2-arc transitive graph‎,‎automorphism group‎}, url = {http://bims.iranjournals.ir/article_1045.html}, eprint = {http://bims.iranjournals.ir/article_1045_dfcf1e1367b8d9455343433f1e659a9c.pdf} }