ORIE 6334 Spectral Graph
نویسنده
چکیده
We can give a sketch of the algorithm below. Recall that, given a tree T and a flow f , the tree-defined potentials are p(r) = 0 for a selected root vertex r and p(i) = ∑ (k,l)∈P (i,r) r(k, l)f(k, l), where P (i, r) is the directed (i, r) path in T . Recall also that any electrical flow obeys both the Kirchoff Current Law (KCL, or flow conservation) and the Kirchoff Potential Law (KPL), which says that ∑ (i,j)∈C r(i, j)f(i, j) = 0 for any directed cycle C. The algorithm will work by maintaining a flow f that obeys KCL, and will keep picking cycles and fixing the flow so that it obeys KPL on the cycle. The algorithm is as follows:
منابع مشابه
ORIE 6334 Spectral Graph Theory December 1 , 2016 Lecture 27 Remix
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