Abstract:
It is proved that the automorphism group of every $\mathrm{AT}4(5,7,r)$-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters $(329,40,3,5)$ acts intransitively on the set of its vertices.
Citation:
L. Yu. Tsiovkina, “On the Automorphism Group of an Antipodal Tight Graph of Diameter $4$ with Parameters $(5,7,r)$”, Mat. Zametki, 105:1 (2019), 123–135; Math. Notes, 105:1 (2019), 104–114