How can I Plot eigenvectors of a graph on the graph as bars coming out of vertices?

Question

Defne Odabasi 2024-2-28

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2088266-how-can-i-plot-eigenvectors-of-a-graph-on-the-graph-as-bars-coming-out-of-vertices

评论： Matt J 2024-2-29

After finding the eigenvalue decomposition of Laplacian matrix, I found the Fourier basis and now I want to plot some of the basis vectors on the graph. How can I obtain the plot as follows:

G = graph(weighted_adjacency);
LWidths = G.Edges.Weight/max(G.Edges.Weight);
figure;
plot(G,'XData',data(:,1),'YData' ,data(:,2),'LineWidth',LWidths);
xlabel('x');
ylabel('y');
title('Weighted Graph')
%Laplacian Matrix
%L = D - M
%Degree Matrix
degree_matrix = diag(sum(weighted_adjacency,2));
laplacian_matrix = degree_matrix - weighted_adjacency;
%Computing the eigenvalues and eigenvectors
[V, lambda] = eig(laplacian_matrix);
selected_u = [1 2 3 10 50];
fourier_basis_vectors = V(:, selected_u);
for i = 1:numel(selected_u)
    basis_vector = fourier_basis_vectors(: ,i);
    figure;
    plot(G,'XData',data(:,1),'YData' ,data(:,2));
end

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

William Rose 2024-2-28

2
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2088266-how-can-i-plot-eigenvectors-of-a-graph-on-the-graph-as-bars-coming-out-of-vertices#answer_1418441

@Defne Odabasi,

You can plot arrows representing a 2D eigenvectors, at specific locations, with quiver(X,Y,U,V), where X and Y represnt the locaiotns of the bases of the arrows, and U,V are the x- and y-lengths of the arrows. The lengths are automatically scalled to avoifd overlap. You can control the scaling, if you do not like the default.

If you attach weighted_adjacency, others may be able to run your code.