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(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.
 
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