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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Sim
Sim 2023-1-24
评论： Sim 2023-1-24
Ran in:
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 )

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采纳的回答

Matt J
Matt J 2023-1-24
Ran in:
This is already done in spatialgraph2d()
https://www.mathworks.com/matlabcentral/fileexchange/73630-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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