Figure 7:

Illustration of persistent multiscale analysis of C₆₀ in terms of 0-combinatorial Laplacian matrices (b)-(f) and their accumulated matrix (a) induced by filtration. As the value of filtration parameter r increases, high-dimensional simplicial complex forms and grows accordingly. (b), (c), (d), (e), and (f) demonstrate the 0-combinatorial Laplacian matrices (i.e., the connectivity among C₆₀ atoms) at filtration r = 1.0 Å, 1.5 Å, 2.5 Å, 3.0 Å, and 3.6 Å, respectively. The blue cell located at the ith row and jth column represents the balls centered at atom i and atom j connected with each other. For clarity, the diagonal terms are set to 0 in all plots.