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If there are some shortest paths, it is clear that the number (sigma ^{G_D}_{s,t}(nu )) is equal to (sigma ^{G_D}_{s,nu } cdot sigma ^{G_D}_{nu,t}).
Based on these values, we know that there exist some shortest paths from s, t that pass through (nu), only if (d s,t) = d s,nu ) + d(nu, t)).
Since (e in S_{(u,langle i rangle )}) if and only if e is in some shortest path from s to ((u,langle i rangle )), we can prove this lemma.
We say that a node connects two seed nodes if it appears in some shortest path connecting them.
Similar(56)
Candidate methods for this are repetitive use of one-to-all shortest path algorithms such as Dijkstra's algorithm, use of all-to-all shortest path algorithms such as the Floyd Warshall algorithm, and use of specifically designed some-to-some shortest path algorithms.
Some short circuit in her brain.
This can alleviate some short-term pressures.
He expressed some short-term misgivings, however.
New Zealand tried some short balls.
I'm gonna buy me some shorts.
Also some short stories and always some poetry.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com