The bipartite dimension of a graph , also called its biclique cover number, is the smallest number
of complete bipartite subgraphs whose
union contains every graph edge of
. Equivalently, it is the minimum size of an edge
cover of
by complete bipartite subgraphs (Fishburn and Hammer 1996).
The bipartite dimension is at most the edge count of ,
since each edge is a copy of
.