How to generate all possible connection with graph theory function

A=[0 1 1 1;0 0 1 1;0 1 0 1;0 1 1 0];
G=digraph(A);
plot(G)
I want to store/generate all possible connection like 1-2-3-4,1-3-2-4,1-4-2-3, plot1.JPG

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