Sentence examples for of minimal paths from inspiring English sources

In this study, a new SDP based on some intuitive properties that characterize the structure of minimal paths (MPs), and the relationships between MPs and subpaths are developed to improved SDP.

The first input to the program is the sum of minimal path-sets.

This algorithm is applied to sum of minimal path-sets (Xing 2012).

Frequency distributions of minimal path lengths show that the greater-than-expected diameters are not caused by the presence of a small number of extraordinarily long minimal paths in the networks, but due to the existence of many elongated minimal paths (Fig. S1).

About the algorithm proposed recently of minimal path, it can segment the most vessels with low contrast, and it is stronger than any of the above algorithms.

By increasing the number of alternative minimal paths, the hotspots are less likely to be created and the traffic is efficiently distributed throughout the network.

Thus the union (mathcal {P} = bigcup _{v in E^0} mathcal {P}_{mathrm {min}} v,v_0) ) of all minimal paths ending in (v_0) is also finite.

Our first result uses the concept of a minimal path.

And we can measure the distance between such trees using the same idea of a minimal path from one to the other.

The first problem is solved using geodesics or minimal paths instead of Euclidean distances; this preserves the topological information of the object.

To see this, for each (v in E^0), we let (mathcal {P}_{mathrm {min}} v,H)) be the set of minimal finite paths from v into H, i.e., begin{aligned} mathcal {P}_{mathrm {min}} v,H)= & { text {path } mu = e_1 cdots e_n :s(e_1) = v, ~ r(e_n) in H, ~ s(e_k)¬in H text { for } k = 1, ldots n }. end{aligned}By convention, if (v in H), then (mathcal {P}_{mathrm {min}} v,H) = { v }).