Logistics centres of a huge capacity and ability to create added value have emerged in recent decades. These centres have become network nodes among the co-operating organizations which accomplish the management of supply chains by connecting different modalities and networks with their infrastructure and informatics. The effective operation of logistics centres present in business networks are usually managed by logistics supplier businesses (3PL/4PL). Defining the supply net as a complex network, logistics centres may be called hubs, the routes and relationships connecting the centres – by borrowing the term used in network theory – may be called edges. Taking into consideration the results of Barabási’s network research we are searching for correlations between his proven principles and the growth possibilities of the centres (hubs) operated by logistics service providers.