  We provide an evidence for the validity of strong monogamy inequality of
multi-party quantum entanglement using square of convex-roof extended
negativity(SCREN). We first consider a large class of multi-qudit mixed state
that are in a partially coherent superposition of a generalized W-class state
and the vacuum, and provide some useful properties about this class of states.
We show that monogamy inequality of multi-qudit entanglement in terms of SCREN
holds for this class of states. We further show that SCREN strong monogamy
inequality of multi-qudit entanglement also holds for this class of states.
Thus SCREN is a good alternative to characterize the monogamous and strongly
monogamous properties of multi-qudit entanglement.
