Sentence examples for be the underlying graph from inspiring English sources

Let (M_{U}) be the underlying graph of M, (p=|operatorname{det}R_{H}(M |).

When approaching the mentioned problem in these graphs, we realized that each of them could be redefined as a compound graph, the main graph being the underlying graph of a certain iterated line digraph.

Then G is called the underlying graph of G σ.

This could be the underlying reason for the deviations between the actual representative plots of the various sequences and their fitted curves observed in several graphs.

What could be the underlying mechanism?

The only difference with the macroscopic interpretation is that probabilities must always add up to 1, so that utot=1 in Equation 2. Matrices of Laplacian type often arise when master equations are used but the underlying graph, from which the Laplacian can always be derived, has not been exploited as we do here.

The two problems (19) and (20) are equivalent provided that the underlying graph is strongly connected [20].

This should be compared to the case when the underlying graph is assumed to be a tree in which case we get another partial order (see [3]); and to the case when the graph is topologically an interval in which case we get Sharkovsky's ordering, a total ordering.

Then G is usually called the underlying graph of G σ.

In particular the problem of deciding "subjective acceptability" continues to be np-complete even when the underlying graph is a binary tree.

Hence, (mathcal{G} ) is strongly connected if the underlying graph of (R_{mathcal{G}}) is a complete graph1.