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

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 )

Answer 1

[Matt J]

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

[Sim]

Thanks a lot @Matt J !! Oh Yes, a silly question, I did not think at all of using spatialgraph2d() :-) :-)