Changing static node to random distribution node.

How to change the node into random distributed node as following code.
% code
rand('seed',123456);
x = [1 1 1 1 1 1 2 3 4 5 6 7 7 7 7 8 9 10 11 8 6];
y = [2 3 4 5 6 7 3 4 5 6 2 8 9 10 11 10 10 11 8 1 11];
weights = randi([1 10],1,21);
G = graph(x,y,weights);
h = plot(G,'EdgeLabel',G.Edges.Weight);
title('Finding Shortest Path on Random Node');
path = shortestpath(G,1,9);
highlight(h,path,'NodeColor','g','EdgeColor','g')
end
Can i change the node :
x = [1 1 1 1 1 1 2 3 4 5 6 7 7 7 7 8 9 10 11 8 6];
y = [2 3 4 5 6 7 3 4 5 6 2 8 9 10 11 10 10 11 8 1 11];
Into random distributed node? Thanks :)

 Accepted Answer

So you want to select a random subset of the possible edges to be included in your graph? Consider using the sprandsym function to generate a sparse adjacency matrix and passing that adjacency matrix into the graph function.

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