We study the effects of three- and fourfold crosslinks on wormlike mic
elles. This model is worked using a correspondence between magnetic mo
dels and equilibrium polymers. We obtain the phase diagrams and the cr
itical behavior of the concentration of extremities and of crosslinks.
These crosslinks generate a demixing for both three- and fourfold con
nections. We show that, due to the difference of parity between the th
ree- and fourfold connections, the behavior is quite different for eac
h case.