Sentence examples for crossing of edges from inspiring English sources

First, Delaunay triangulations are planar graphs and therefore do not allow the crossing of edges.

To achieve this goal, we generated 10,000 random networks by crossing pairs of edges as done in Kelley and Ideker [1] and Milo et al [19].

The resulting miRNA-disease associations are represented using a network visualization in a force-directed layout, meaning placement of miRNAs and diseases are in the most aesthetic way and there is minimal crossing over of edges.

The first problem is the crossing of reticulation edges: even though it can not always be avoided, the number of such events should be minimized.

We applied a force-directed layout to minimize the number of crossing edges and to enhance readability of node labels.

The number of crossing edges in the original network was then compared with the distribution of number of crossing edges seen in 1,000 randomized networks.

Every time the while loop is executed, however, the number of crossing edges increases by at least one, and there are E edges, so the loop terminates in at most E iterations.

Nodes were re-indexed by sorting the Fiedler vector (the eigenvector corresponding to the second smallest eigenvalue of the graph Laplacian) [57]; this re-indexing brought the connected components in closer proximity within the graph layout and minimized the visualization problem of crossing edges.

We thus calculated the network partitioning that resulted in the fewest number of crossing edges (see Materials and Methods).

Undirected (Directed) s t Path with Forbidden Pairs of Edges cross- composes to Undirected (Directed) Eulerian Edge Deletion.

The path could be not accessible from the boundary of the hole because of the crossing edges (Figure 6b) and thus, a transmitted packet may fall into a routing loop.