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To further reduce the computational cost, for a node w selected from (Q setminus {mathsf {T}} _i), the addition heuristics pick a node v at (pi _j) on the current circuit ({mathsf {T}} _i) and only consider the insertion of w either between two nodes at ((pi _{j-1}, pi _j)) or between two nodes at ((pi _j, pi _{j+1})).
With complementary probability 1- p we pick a node in R t -1, which is a leaf, i.e. has only one link, and remove it.
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After picking a node u, the algorithm decides to include the node into the sample with probability (min(1,k_{v} k_{u}^{-alpha})).
It first picks a node (u in mathcal {H}_{1} v)) that covers the most uncovered hexagons (line 11 in Algorithm 2), and labels u as a provider.
The pursuer periodically informs the network of its position by picking a node in its proximity to route a query to the landmark.
Nodes are sampled iteratively (steps 4-11): at each iteration, the algorithm randomly picks a node u from the neighbors of current sampled node v, with probability proportional to the edge weight (w_{vu}).
It works as follows: Given a partial cover W⊆V and the set of corresponding k-covered elements X⊆U, the algorithm picks a node v∈V that is adjacent to W and that covers the largest number of elements of U\X and adds v to the cover.
In each time step t of the model we do one of the following: (i) with probability p we add a reaction node to R t -1 by at random picking a node which is not in R t -1, but is neighbour of at least one of the current nodes (as defined in the underlying BioCyc-network).
At each step of the traversal, we randomly pick a child node of the currently visited node.
The coarsening scheme proposed by Walshaw [ 30] was to pick a random node and match it with a neighboring node with the smallest weight (defined to be 1 for each node in G0 and the number of original nodes inside a metanode in Gi for i > 0).
In order to keep the distributed storage consistent, data storage updates are also applied by Bamboo, where a node periodically picks a random node in its leafset and synchronizes the stored data with it.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com