On the Combinatorial Structure of Primitive Vassiliev Invariants, II

By the theory of Vassiliev invariants, the knowledge of a certain algebra B, defined as generated by graphs, is essentially as good as the knowledge of the space of Vassiliev invariants. We will prove that the subspace Bc2, uof B generated by all connected diagrams with 4+2uvertices, including u univalent ones, has dimension dim Bc2, u=⌊(u2+12u)/48⌋+1 for u even. Bc2, uis trivial foruodd.