Title: Racks as multiplicative graphs,
Abstract: We interpret augmented racks as a certain kind of multiplicative graphs and
show that this point of view is natural for defining rack homology. We also
define the analogue of the group algebra for these objects; in particular, we
see how discrete racks give rise to Hopf algebras and Lie algebras in the
Loday-Pirashvili category $\mathcal{LM}$. Finally, we discuss the integration
of Lie algebras in $\mathcal{LM}$ in the context of multiplicative graphs and
augmented racks.