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Also, a protein may be assigned more than one GO term, each one on a different branch of the graph (the different branches represent different groups of properties).
Let l2 − l1 denote the distance between the start and the end of the ancestral segment in a branch of the graph.
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This is an evident example of the incompleteness of annotations in databanks negatively affecting automatic evaluation of benchmark results as the two GO terms "guanyl-nucleotide exchange factor activity" (GO 0005085) and "GTP binding" (GO 0005525) are in different branches of the GO graph and do not share a parent.
For a graph with n nodes, the number of branches in each tree, t, must be; :t = n - 1 \ An important relationship for circuit analysis is; :b = l + t \ where b is the number of branches in the graph and l is the number of links removed to form the tree.
We can estimate the rate of branching in the graph that can be attributed to each of these branch types by coupling a graph traversal with a probabilistic classifier.
With the additional information assigned to the k-mers, k-mers from repetitive regions can often be distinguished, and thus the number of branches in the graph can be reduced.
This further investigation enabled to find out the lowest node per branch of the DAG (Directed Acyclic Graphs, i.e. the hierarchical representation of the gene ontology) that fulfils the filter condition, e. g. will find all the lowest nodes with the given number of sequences or score value (see Additional files 4, 5, 6, 7, 8, 9).
> -wrap-foot> Resolving the branches (both sp- and cr-branches) in the graph is one of the key issues for solving the problem of metagenomic assembly.
Extremal graph theory is a branch of graph theory that studies extremal (maximal or minimal) graphs, which satisfy a certain property.
This branch of quantitative graph analysis is often referred to as inexact graph matching [30], [31] that addresses the problem of determining the structural similarity of graphs in an error-tolerant way [31], [32].
The other employs actuation only in branches not belonging to the tree of the graph of the network and achieves regulation in a (non-infinitesimal) region around the operating point.
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