How to create random graph?

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Deepthi B
Deepthi B on 10 May 2021
Commented: Rayan Glus on 29 May 2021
Hi ,
I want to check whether the network that I have obtained is a small world network or not. For that I have to find out the clustering coefficient and shortest path length of a random network with the same number of nodes and links in my network. Is it possible to find out?

Accepted Answer

Christine Tobler
Christine Tobler on 10 May 2021
You can use
s = randi(n, e, 1);
t = randi(n, e, 1);
G = graph(s, t, [], n);
which will give you a graph with n nodes and e edges. Note that G may have multiple edges connecting the same two nodes, and may also have self-loops (edges connecting a node to itself). If you don't want repeating edges, use the following instead:
G = graph(true(n)); % Self-loops are possible
%G = graph(true(n), 'omitselfloops'); % Alternative without self-loops
p = randperm(numedges(G), e);
G = graph(G.Edges(p, :));
Rayan Glus
Rayan Glus on 29 May 2021
Thank you so much for the nice clarification, Christine.
Your code was able to generate a graph of 6000 nodes with p=0.6, and then plot it in just couple of seconds.

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