Let K(X, Y) denote the bipartite framework in the plane that realizes the c
omplete bipartite graph K-m,K-n with partite sets X, Y; \X \ = m, \Y \ = n.
We show that for m greater than or equal to 3, n greater than or equal to
5, K(X, Y) admits a continuous deformation if and only if X lies on a line
l and Y lies on a line perpendicular to l. (C) 2001 Elsevier Science BN. Al
l rights reserved.