Method for hydrodesulfurisation of a petroleum fraction using a catalyst containing a graphitic material characterised by the H/C ratio thereof

A process for the hydrodesulfurization of a gasoline cut containing sulfur-comprising compounds and olefins, in which said gasoline cut, hydrogen and a catalyst are brought into contact, said process being carried out at a temperature of between 200° C. and 400° C., a total pressure of between 1 and 3 MPa, an hourly space velocity, defined as being the flow rate by volume of feedstock relative to the volume of catalyst, of between 1 and 10 h−1 and a hydrogen/gasoline feedstock ratio by volume of between 100 and 1200 Sl/l, said catalyst comprising an oxide support, sulfur and an active phase comprising at least one metal from group VIb and at least one metal from group VIII, said catalyst additionally containing a graphitic material containing carbon and hydrogen, the carbon content, expressed as carbon element, being between 5% and 20% by weight, with respect to the weight of the catalyst, and the H/C atomic ratio being 0.8 to 1.2, said graphitic material not containing oxygen.