Скачать или смотреть Stage 2 of downward trajectory 9

This is part of a series of videos on nucleation in random graph models, described in the paper https://arxiv.org/abs/1902.07170. This video shows the first 10,000 steps of the 9th downward trajectory of Figure 13 of the paper (which can also be seen zoomed-in in Figure 16).

The top-left quadrant shows the projections of all the vertices onto the eigenspace spanned by the two eigenvectors of the adjacency matrix with smallest (i.e. most negative) eigenvalues. For a more detailed description, see Figure 15.

The top-right quadrant shows the second-most-negative eigenvalue changing in time; the moving red dot represents the current time.

The bottom-left quadrant shows the triangle density changing in time (from 0.26 at the beginning to 0.24 at the end).

The bottom-right quadrant shows the best-fit two-pode and three-pode graphons of the graph. For a more detailed description, see Figure 3.