  In this paper, we give list coloring variants of simple iterative defective
coloring algorithms. Formally, in a list defective coloring instance, each node
$v$ of a graph is given a list $L_v$ of colors and a list of allowed defects
$d_v(x)$ for the colors. Each node $v$ needs to be colored with a color $x\in
L_v$ such that at most $d_v(x)$ neighbors of $v$ also pick the same color $x$.
For a defect parameter $d$, it is known that by making two sweeps in opposite
order over the nodes of an edge-oriented graph with maximum outdegree $\beta$,
one can compute a coloring with $O(\beta^2/d^2)$ colors such that every node
has at most $d$ outneighbors of the same color. We generalize this and show
that if all nodes have lists of size $p^2$ and $\forall v:\sum_{x\in
L_v}(d_v(x)+1)>p\cdot\beta$, we can make two sweeps of the nodes such that at
the end, each node $v$ has chosen a color $x\in L_v$ for which at most $d_v(x)$
outneighbors of $v$ are colored with color $x$. Our algorithm is simpler and
computationally significantly more efficient than existing algorithms for
similar list defective coloring problems. We show that the above result can in
particular be used to obtain an alternative $\tilde{O}(\sqrt{\Delta})+O(\log^*
n)$-round algorithm for the $(\Delta+1)$-coloring problem in the CONGEST model.
The neighborhood independence $\theta$ of a graph is the maximum number of
pairwise non-adjacent neighbors of some node of the graph. It is known that by
doing a single sweep over the nodes of a graph of neighborhood independence
$\theta$, one can compute a $d$-defective coloring with $O(\theta\cdot
\Delta/d)$ colors. We extend this approach to the list defective coloring
setting and use it to obtain an efficient recursive coloring algorithm for
graphs of neighborhood independence $\theta$. In particular, if $\theta=O(1)$,
we get an $(\log\Delta)^{O(\log\log\Delta)}+O(\log^* n)$-round algorithm.
