  We present a simple method to obtain information regarding the connectivity
of the 1-skeleta of a wide family of simplicial complexes through bounds for
the Castelnuovo-Mumford regularity of their Stanley-Reisner rings. In this way
we generalize and unify two results on connectivity: one by Balinsky and
Barnette, one by Athanasiadis. In particular, if $\Delta$ is a simplicial
$d$-pseudomanifold, and $s$ is the highest integer such that there is an
$s$-dimensional simplex not contained in $\Delta$, but such that its boundary
is, then the 1-skeleton of $\Delta$ is $\left\lceil \frac{(s+1)d}{s}
\right\rceil$-connected. We also show that this bound on the connectivity is
tight.
