Given a set L ⊆ ℒ T), let T' be the minimal rooted subtree of T with leaf set L. We define the leaf induced subtree T [ L] of T on leaf set L to be the tree obtained from T' by successively removing each non-root node of degree two and adjoining its two neighbors.
By removing every node in fact a chain of calculations are removed.
By removing the node injection vector to the left of the coupled system flow equation in (16), using W as a short form, and introducing the function f(X) to stand for the expression on the right, the original flow equations can be simplified as: varvec{W} = varvec{f}textvarvec{X}text (17).
For instance, the number of disconnected causal chains to which that entity belongs can be computed by removing the node corresponding to that entity, followed by the count of the n locally disconnected causal chains that result from this procedure.
To test the robustness of the modular structure obtained above, we implemented the standard (but computationally expensive) LOO-CV technique by removing a node and its corresponding interactions from the data to predict the changed module distribution.
The so-called reduced multicast tree algorithm is based on the backup multicast tree algorithm and can calculate a tree from the default multicast tree by removing a particular node and by replacing the links of the removed node.
Therefore, studies have proposed the "stage migration" hypothesis that obtaining accurate information of lymph nodes and determining the lymph node stage by removing more lymph nodes to decrease the probability of error of nodal stage.
A subsystem of G VV, E), which has two nodes and one edge that connects the two nodes, may be produced by removing nodes on either end of the chain until only two nodes are left.
This was achieved by removing the broker node and modifying the PMN behavior so that the PIP publishes it resources' description information to a local repository/broker (instead of the centralized BN).
Among the topologies we consider, tree topology has the best short-term fairness performance mainly because interdependency between nodes in the tree topology is lower than any other topology: tree can be separated into two independent parts by removing a single node.
