  This paper has partially a novel and partially a survey character. We start
with a short review of rack (two term) homology of self distributive algebraic
structures (shelves) and their connections to knot theory. We concentrate on a
sub-family of quandles satisfying the graphic axiom. For a large family of
graphic quandles (including infinite ones), we compute the second rack homology
groups. Finally, we propose conjectures based on our computational data.
