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