Example implementations relate to management of network topologies. A primary tree having multiple connection graphs is generated for each node in the network. Each connection graph has at least one ordered list of one or more network node connections and the generated connection graphs provide a full network fit for each node in the network. The connection graphs are stored in at least one network switch to be used for network switch functionality. Additional connection graphs are generated for one or more network nodes connections based at least on network link capacity and provide for sharing of one or more of network links between multiple network node connections. The additional connection graphs are stored in the at least one network switch to be used for subsequent network switch functionality.