Create random graph with limited degree

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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?

采纳的回答

Bruno Luong
Bruno Luong 2020-7-13
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)

更多回答(1 个)

Christine Tobler
Christine Tobler 2020-7-13
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?

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