Create random graph with limited degree

I want to create random and an undirected graph where the maximum degree of each node in the graph = 4, we can have in the graph nodes with the degree 2,3 or even 4 but none of them has a degree greater than 4, in other words, the degree of each node is between 1 and 4.

anyone can help?

Answer 1

[Bruno Luong]

n = 10; % number of nodes
maxDeg = 4;

M=rand(n);
M=0.5*(M+M');
S1=sort(M,1,'descend');
S2=sort(M,2,'descend');
T=max(S1(maxDeg,:),S2(:,maxDeg));
A=M>=T;
G=graph(A)

plot(G)

[Sara]

Thank you verry much

Answer 2

[Christine Tobler]

You could start by just making an undirected graph, and then go through each node and compute its degree. If the degree is larger than 4, remove some of the edges connecting to that node at random.

Do you need it to be "uniformly" random, and if yes in which way?

[Sara]

I will try that thank you verry much