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This method implies that if a non-decreasing weight path does not exist for a vertex, that vertex is not reachable from the source.
Here, the optimized weight path from the source to the destination in the graph made by GTR corresponds to the optimized cost path in the network graph.
The first condition in the if-statement checks whether this edge satisfies the non-decreasing edge weight path property after traveling the n-hop path to vertex u.
Isotonicity is a necessary and sufficient condition for Bellman-Ford and Dijkstra's algorithm to find minimum weight path and loop-free forwarding.
Isotonicity is another requirement for routing metrics, since it is a necessary and sufficient condition for Bellman-Ford and Dijkstra's algorithm to find minimum weight path and loop-free forwarding.
The relaxation method in Algorithm 1 considers only edges that have contact times now or in the future; therefore, the non-decreasing edge weight path property is still maintained.
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An isotonic metric assures loop-free routing, simple implementation, and minimum weight paths using Dijkstra's algorithm.
Isotonic aware property of the routing metric is an important design parameter for selecting optimum weight paths and to avoid routing loops.
Since the routing metric of a path is the same as the aggregated link weight of the corresponding virtual links and the weight assignments of the virtual links are isotonic, efficient algorithms can find minimum weight paths.
To find the top- K solutions, we then find the K highest weight paths in using a standard procedure [ 15].
Our initial edge orientation analysis (Gitter et al., 2011) used only edge confidence to weight paths, which in practice reduced ) to (2) where p is a source target path and e is an edge on the path.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com