  The monogamy of entanglement means that entanglement cannot be freely shared.
In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)]
proposed a monogamy relation in the linear version and considered it in terms
of entanglement of formation. Here we generalize the above version and consider
a multi-linear monogamy relation for a multi-qubit system in terms of
entanglement of formation and concurrence. Based on the above results, we
present an entanglement criterion for genuine entangled states, also we
consider the absolutely maximally entangled states and present what an
absolutely maximally entangled state is for a three-qubit system. At last, we
apply our results to a three-qubit pure state in terms of quantum discord.
