Abstract
The quantum entropy cones (QEC) for W_N states of qubits and W_N^d states of qudits are computed. These cones emerge as symmetrized quantum entropy cones (SQEC) for arbitrary N and d. Directed graph models are presented which describe the SQEC for W_N states and W_N^d states. Monogamous mutual information (MMI) is violated for all N>3.