Question

3.- A network is characterized by the following adjacency matrix: A = egin{pmatrix} 0 & 1 & 0 \ 1 & 0 & 1 \ 1 & 1 & 0 end{pmatrix} a) Find the value of n and m. Draw the network. Is the network undirected? b) Find all the geodesic paths and the diameter of the network. c) Draw the histogram of the degree and indicate the value of mean degree. d) What type of information does A^2 provide? How many paths of length two has that network? Is the network acyclic? (4 points) 4.- Define the concept of Laplacian matrix. Calculate the Laplacian matrix of the matrix A, defined in the previous exercise. (1.5 points)

          3.- A network is characterized by the following adjacency matrix:
A = egin{pmatrix} 0 & 1 & 0 \ 1 & 0 & 1 \ 1 & 1 & 0 end{pmatrix}
a) Find the value of n and m. Draw the network. Is the network undirected?
b) Find all the geodesic paths and the diameter of the network.
c) Draw the histogram of the degree and indicate the value of mean degree.
d) What type of information does A^2 provide? How many paths of length two has that network? Is the network acyclic?
(4 points)
4.- Define the concept of Laplacian matrix. Calculate the Laplacian matrix of the matrix A, defined in the previous exercise.
(1.5 points)

3.- A network is characterized by the following adjacency matrix:
A = eginpmatrix 0 1 0 1 0 1 1 1 0 endpmatrix
a) Find the value of n and m. Draw the network. Is the network undirected?
b) Find all the geodesic paths and the diameter of the network.
c) Draw the histogram of the degree and indicate the value of mean degree.
d) What type of information does A^2 provide? How many paths of length two has that network? Is the network acyclic?
(4 points)
4.- Define the concept of Laplacian matrix. Calculate the Laplacian matrix of the matrix A, defined in the previous exercise.
(1.5 points)

Added by Deborah M.

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