In this paper, we consider the connectedness of planar self-affine set
T(A,D) arising from an integral expanding matrix A with
characteristic polynomial f(x)=x2+bx+c and a digit set
D={0,1,β¦,m}v. The necessary and sufficient conditions only
depending on b,c,m are given for the T(A,D) to be connected.
Moreover, we also consider the case that D is non-consecutively
collinear.Comment: 18 pages; 18 figure