Repeat Problem 2 if the given eigenvalues are of the directed Laplacian matrix.
Considering eigenvalues of weight matrix as graph frequencies, order the following eigenvalues
from low to high frequencies.
(a) 1.0264, 3.5663,?2.3504,?1.4289,?0.8134
(b) 0, 0.1668,?1.4685?0.0883j,?1.4685 + 0.0883j, 2.7703
(c)?0.3138?0.2196j, 0.6180,?1.3662?0.0847j,?1.6180, 2.6801 + 0.3042j
Also comment on the directivity and nature of edge weight (positive, real, or complex) of the
graphs.
(a) From low to high frequency: -0.8134, 1.0264, -1.4289, -2.3504, 3.5663.
(b) From low to high frequency: 0, 0.1668, -1.4685-0.0883j, -1.4685+0.0883j, 2.7703.
(c) From low to high frequency:
-0.3138-0.2196j, 0.6180, -1.3662-0.0847j, -1.6180, 2.6801+0.3042j.
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