Heat Kernel of Networks with Long-Range Interactions

Figure 18

The plots in Figure 18 illustrate the behavior of the generalized heat content using the Laplace transform against time for 5 Barabási–Albert (BA) graphs (depicted by blue lines) and 5 Erdös–Rényi (ER) graphs (depicted by green lines). These graphs are constructed with 1000 nodes each, and their average degree falls within the range of 5 to 20. (a)  = 1.5. (b)  = 2. (c)  = 3. (d)  = 4.

(a)

(b)

(c)

(d)