1. GraphDB was unique in that its design based on weighted graphs . 2. It is a more practical variant on weighted graph . 3. Many problems in graph theory deal with weighted graphs . 4. There are straightforward extensions to dense directed weighted graphs . 5. A weighted graph associates a value ( " weight " ) with every edge in the graph. 6. These are not the same kind of signed graph; they are weighted graphs with a restricted weight set. 7. Graphs with weights, or weighted graphs , are used to represent structures in which pairwise connections have some numerical values. 8. The condition that the momentum is conserved is exactly the condition that the boundary of the-valued weighted graph is zero. 9. The " weight of a path " in a weighted graph is the sum of the weights of the traversed edges. 10. But there is such a thing as weighted graph theory, e . g . a problem related to travel time or fiber length.
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