Since we seek an assignment on the vertices of the network with no conflicts in the reticulate vertices, S r (i) is a lower bound on the cost of such assignment where the root vertex is assigned i and all vertices are assigned with a unique assignment.
In ideal cases, this procedure can be automated and yields a unique assignment for each backbone atom of the protein (see, Baran et al., 2004; Moseley and Montelione, 1999 for review).
It should be noted that all the observers use a unique assignment rule unless otherwise stated; we do not basically assume that observers employ different assignment rules as in previous studies [ 10, 15, 16, 18, 19].
Based on the unique key used by Alice and Bob, and applying Steps 1 and 2 of our approach, a unique assignment of DNA code words of length 8 is associated to each of the 8 characters, as shown in Table 3.
We found that the use of sparse or poorly constraining NMR data for the structure-based assignment cannot lead to a unique assignment of all peaks.
A unique assignment is possible if only one SVM produces a positive output for a certain sample.
Thus, a probable reason for the low number of KEGG-based unique assignments in eukaryotes is that in these organisms, with only a few exceptions [ 44], genes do not appear to be organized in operons, preventing KEGG annotators from making use of the conservation of local genomic context (such as gene order or gene neighboring) to validate orthology-based annotations of enzyme function.
The cut-off resulted in the unique assignment of >97% of all reads.
In order to be logically correct, a unique variable assignment has to be found which leads to a valid execution of the program.
Instead of searching for a unique global assignment, whose accuracy is difficult to assess, our goal was to determine an assignment ensemble, containing all possible assignments compatible with the available NMR data.
