Given a graph G: a designated vertex r and a natural number k, we wish to i
ind k "independent" spanning trees of G rooted at r, that is, k spanning tr
ees such that, for any vertex rr, the k paths connecting r and v in the k t
rees are internally disjoint in G. In this paper we give a linear-time algo
rithm to find I; independent spanning trees in a k-connected maximal planar
graph rooted at any designated vertex.