16.3 Consider a configuration model network that has vertices of degree 1, 2, and 3 only, in fractions p, P2, and p3, respectively. a. Find the value of the critical vertex occupation probability p, at which site percolation takes b. Show that there is no giant cluster for any value of the occupation probability o ifp,>3p, c. Find the size of the giant cluster as a function of . (Hint: you may find it useful to place on the network. Why does this result not depend on p,? remember that u = l is always a solution of the equation 11-1- + gl (11).) 16.3 Consider a configuration model network that has vertices of degree 1, 2, and 3 only, in fractions p, P2, and p3, respectively. a. Find the value of the critical vertex occupation probability p, at which site percolation takes b. Show that there is no giant cluster for any value of the occupation probability o ifp,>3p, c. Find the size of the giant cluster as a function of . (Hint: you may find it useful to place on the network. Why does this result not depend on p,? remember that u = l is always a solution of the equation 11-1- + gl (11).)