  Using the combinatorial species setting, we propose two new operad structures
on multigraphs and on pointed oriented multigraphs. The former can be
considered as a canonical operad on multigraphs, directly generalizing the
Kontsevich-Willwacher operad, and has many interesting suboperads. The latter
is a natural extension of the pre-Lie operad in a sense developed here and
related to the multigraph operad. We study some of the finitely generated
suboperads of the multigraph operad and establish links between them and the
commutative operad and the commutative magmatic operad.
