Exact(24)
Dark blue bar represents the results from damaged graph and brown bar depicts the one from augmented graph.
The significance level of difference in performance between the results of damaged graph and augmented graph was conducted using Wilcoxon signed-rank test (Table 1).
The AUCs of the 4 graphs (original graph from gene expression data (GO), damaged graph from the original one (GD), reconstructed graph via inter-relation between miRNA and mRNA (GR), and augmented graph by damaged graph and reconstructed graph (GA)) are shown in the y axis and the percent of damaged edges are represented in the x axis.
(D) Augmented graph (GA): An augmented graph was generated by combining damaged graph (GD) from the original graph and reconstructed graph (GR) from inter-relation.
We define an augmented graph as a pair (G,M) where G is an n-node graph with nodes labeled in {1,…,n}, and M is an n×n stochastic matrix.
Under the assumption that the coopetition network is structurally balanced and the leader is a root of the spanning tree in an augmented graph, the bipartite consensus and the parameter estimation are analyzed by invoking a common Lyapunov function method when the coopetition network is time-varying according to a piecewise constant switching signal.
Similar(36)
The Wilcoxon signed-rank test was used to assess the significance level of difference in performance between the results of damaged graphs and augmented graphs [ 43]. Figure 3 shows the prediction performance on the classification of short-term and long-term survival for 4 cases of proposed graphs.
The method proposed here augments graph theory and allows it to address important functional aspects of signaling components, leading to testable predictions of comparable accuracy as dynamic models.
We hypothesize that the methods that will improve using capDSD versus just caDSD are those that use only some sort of information about the local neighborhood of a node to predict its function; here, making pathways 'closer' with highways is helpful, whereas the amount of distortion in augmenting the graph causes too much noise for more global methods such as multi-way cut.
On the positive side, we describe a polynomial-time algorithm that tests whether a triangulated plane graph augmented with a given set of edges that form a matching is IC-planar.
These scaffolds were then merged and augmented with contig graph information (see Methods) to obtain the draft genome and we report the results after both stages.
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