Abstract
The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized W-class (GW) states based on the unified-(q,s) entanglement (UE). We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state, as well as tighter monogamy relations based on the αth (α≥2) power of UE. Furthermore, for an n-qudit system ABC₁...C_n-2, generalized monogamy relation and upper bound satisfied by the βth (0≤β≤1) power of UE for the GW states under the partition AB and C₁...C_n-2 are established. In particular, two partition-dependent residual entanglements for the GW states are analyzed in detail.