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calculate the euclidean distance among all the pairs of nodes and use those resulting distances as the edges weights of the graph

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Given the positions of nodes in a graph, i.e. x and y coordinates of each node, is there any compact way to
  1. calculate the euclidean distance among all the pairs of nodes
  2. and use those resulting distances as the edges weights of the graph ?
% input
s = [1 1 1 2 3 3 4 4 5 6 7 6 8 9 10 10 12 12 13 14 15 16 17 17 18 19 20 21 20 25];
t = [2 8 18 3 4 23 5 21 6 7 8 11 9 10 11 12 14 13 15 18 16 17 18 25 19 20 1 22 24 26];
G = graph(s,t);
x = [0.5 0 0 0 0.5 1 1.5 2 3 3 3 5.5 6 4 6 6 4 3 2 0.5 -1 -2 -1 1.5 4.5 4.5];
y = [0 0.5 1 1.5 2 2 1.5 1 1 1.5 2 1 0.5 0.5 0 -1 -1 -0.5 -1 -1 1 0.5 0.5 -0.5 -0.5 0];
plot(G,'XData',x,'YData',y,'linewidth',2,'MarkerSize',7);
>> G
G =
graph with properties:
Edges: [30×1 table]
Nodes: [26×0 table]
% Example of distance between node 1 and node 2:
d_12 = sqrt( (0.5-0)^2 + (-0.5+0)^2 )

Akzeptierte Antwort

Matt J
Matt J am 24 Jan. 2023
This is already done in spatialgraph2d()
which I think you are familiar with.
% input
s = [1 1 1 2 3 3 4 4 5 6 7 6 8 9 10 10 12 12 13 14 15 16 17 17 18 19 20 21 20 25];
t = [2 8 18 3 4 23 5 21 6 7 8 11 9 10 11 12 14 13 15 18 16 17 18 25 19 20 1 22 24 26];
G = graph(s,t);
x = [0.5 0 0 0 0.5 1 1.5 2 3 3 3 5.5 6 4 6 6 4 3 2 0.5 -1 -2 -1 1.5 4.5 4.5];
y = [0 0.5 1 1.5 2 2 1.5 1 1 1.5 2 1 0.5 0.5 0 -1 -1 -0.5 -1 -1 1 0.5 0.5 -0.5 -0.5 0];
obj=spatialgraph2D(G,x,y);
obj.G.Edges
ans = 30×2 table
EndNodes Weight ________ _______ 1 2 0.70711 1 8 1.8028 1 18 2.5495 1 20 1 2 3 0.5 3 4 0.5 3 23 1.118 4 5 0.70711 4 21 1.118 5 6 0.5 6 7 0.70711 6 11 2 7 8 0.70711 8 9 1 9 10 0.5 10 11 0.5

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