You know that with the sones GraphDB you can achieve amaz­ing things by con­nect­ing objects through edges. A graph data struc­ture is based upon this idea and hav­ing the abil­ity to add weight to these edges gives you the abil­ity to cre­ate weighted graphs.

“A graph is a weighted graph if a num­ber (weight) is assigned to each edge. Such weights might rep­re­sent, for exam­ple, costs, lengths or capac­i­ties, etc. depend­ing on the prob­lem.” (Wikipedia)

There’s an exam­ple of a sim­ple weighted graph in the exam­ple sec­tion of this web­site. Have a look at it!