How to label all the edges in a graph the euclidean distance between two adjacent nodes???

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Mohammad Bhat
Mohammad Bhat 2019-3-17
评论： Mohammad Bhat 2019-3-18
Hi,
I have to weight each edge in below attached undirected graph with euclidean distance between two adjacent nodes. How we can do that???

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Akira Agata
Akira Agata 2019-3-18
I think one possible solution would be like this:
% Make Graph object
rng('default');
s = [1 1 3];
t = [2 3 4];
G = graph(s,t);
% Calculate pair-wise Euclidian distance between every node
X = 10*rand(4,1);
Y = 10*rand(4,1);
d = pdist([X,Y]);
d = squareform(d);
% Label Euclidian distance for each edge
G.Edges.Wieght =...
arrayfun(@(j,k) d(j,k),G.Edges.EndNodes(:,1),G.Edges.EndNodes(:,2));
% Visualize the Graph
plot(G,'XData',X,'YData',Y,'EdgeLabel',G.Edges.Wieght)
graph.png
  2 个评论
Mohammad Bhat
Mohammad Bhat 2019-3-18
Thank you sir, for your reply. Can it be done with Graph_theory toolbox:-
________________________________________________________
function W = build_euclidean_weight_matrix(A,vertex,pad_with)
% build_euclidean_weight_matrix - build a weighted adjacenty matrix
% that reflect position of the vertices.
% The weight is Inf if vertices are not connected.
% You can put something different from Inf (e.g. 0) 'using pad_with'.
%
% W = build_euclidean_weight_matrix(A,vertex [,pad_with] );
%
% Copyright (c) 2004 Gabriel Peyr?
if nargin<2
error('Not enough arguments.');
end
if nargin<3
pad_with = Inf;
end
if size(vertex,1)<size(vertex,2)
vertex = vertex';
end
n = size(A,1);
if size(vertex,1)<n
error('Not enough vertices');
end
W = sparse(n,n);
W(:,:) = pad_with;
for i = 1:n
for j=1:n
if A(i,j)~=0
W(i,j) = norm( vertex(i,:)-vertex(j,:), 'fro' );
end
end
end

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