Geoscience Reference
In-Depth Information
(a) A disconnected, unweighted chain graph
λ
1
=0.00
λ
2
=0.00
λ
3
=0.04
λ
4
=0.17
λ
5
=0.38
λ
6
=0.38
λ
7
=0.66
λ
8
=1.00
λ
9
=1.38
λ
10
=1.38
λ
11
=1.79
λ
12
=2.21
λ
13
=2.62
λ
14
=2.62
λ
15
=3.00
λ
16
=3.34
λ
17
=3.62
λ
18
=3.62
λ
19
=3.83
λ
20
=3.96
(b) The spectrum of the above graph (unnormalized Laplacian)
Figure 5.4:
The spectrum of a disconnected chain graph, showing two connected components, and the
smooth to rough transition of the eigenvectors.