  We investigate the monogamy of holographic $n$-partite information for a
system consisting of $n$ disjoint parallel strips with the same width and
separation in AdS and AdS black brane geometries. More precisely, we study the
sign of this quantity, \emph{e.g.} for $n=4, 5$, in various dimensions and for
different parameters. Our results show that for quantum field theories with
holographic duals, the holographic 4-partite information is always positive and
the sign of holographic 5-partite information is found to be negative in the
dual strongly coupled $1+1$ dimensional CFT. This latter result indicates that
the holographic 4-partite information is monogamous. We also find the critical
points corresponding to the possible phase transitions of these quantities.
