Help in writing in matlab some code

Can anyone help to write in matlab the code inside the while cycle?

let e[i,j] ∈ S for which c[i,j] = max{c(e),e ∈ S};
S := S
S {[i,j]}; S := S − {[i,j]};
d[i,j] = d[j,i] = 1;

In this part of the code I don't understand if the S is the set of links and the c[i,j] is the maximum lifetime of the links between node i and j,how I can find the max lifetime if I don't know all routes between node i and j? The attached files can help to understand my question?