Consider a graph generated by the colored Boulatov model which can be decomposed as in Figure 11, where two parts of the graphs are connected by a propagator.
Data for the individual parameter was obtained from a graph generated by Texture Pro CT V1.3 Software.
Having extracted the divergence, it is easy to notice that what is left is a ribbon graph generated by a two-dimensional GFT.
In a parity-check matrix corresponding to a Tanner graph generated by the MFPEG algorithm, the r1 rows of the submatrix H1 can have '1's in the same column.
In a periodic graph generated by the static graph, there are infinite copies of the node i, ((i, langle h rangle )) for (h in mathbb {Z}).
The boundary of the most sensitive region, where the output response is multi-modal or non-smooth with abrupt changes, is determined by the topological graph generated by cluster analysis in SOMs.
This is best illustrated by the 3D dose dependence graph, generated for higher estradiol concentration, which represents a complex surface with pronounced areas of elevated protein expression.
This cluster is similar to the graph generated by [ 81] using a combination of compositional similarity and gene tree proximity, although the largest component of the graph in [ 81] contains a much larger number of genomes from Firmicutes and other phyla in addition to the Proteobacteria.
More precisely, the spectrum graph was generated by MS-GFDB per each spectrum, and the reconstructions were generated by UniNovo on that spectrum graph (instead of the spectrum graph generated by UniNovo).
More recently, instead of using the vector approach to mine only the content of twitter messages for topics, a new approach [22] is proposed to mine structures of the graph generated by the interactions between twitter users.
