Heat Kernel of Networks with Long-Range Interactions

Table 2

Computation of -hopping connected components of the graph depicted in Figure 1.

		No. of components	Components
2	1	a-b-c-d
4
4
	3	a–c
		b
2		d

The number of zero(s) (in bold) as eigenvalue corresponds to the number of k-hopping connected components in the graph/network.