Overgroups of the Automorphism Group of the Rado Graph
  We are interested in overgroups of the automorphism group of the Rado graph. One class of such overgroups is completely understood; this is the class of reducts. In this article we tie recent work on various other natural overgroups, in particular establishing group connections between them and the reducts. 
Peter Cameron, Claude Laflamme, Maurice Pouzet, Sam Tarzi and Robert   Woodrow
math.CO math.LO