The invention concerns a method for communication and/or machine resource sharing, in a communication network, among a plurality of members of a community, whereby each member is considered as active or passive depending on whether he is connected or not to the community. The invention is characterised in that the method comprises a step which consists in managing, through at least one central server, a graph of connections between the active members. Said management step itself comprises a step whereby, when one of the passive members (called future active member) wishes to be connected to the community, he sets up a temporary connection with the central server, so that the latter can provide connection instructions to the future active member and to active member(s) to whom the latter has to be connected. Then, the future active member sets up a permanent peer-to-peer connection with each active member indicated by the central server. The inventive technique can be said to be hybrid peer-to-peer, since it combines centralisation of the connection graph among active members, with decentralisation of exchanges between among active members.