Finding thek smallest spanning trees
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We give improved solutions for the problem of generating thek smallest spanning trees in a graph and in the plane. Our algorithm for general graphs takes timeO(m logβ(m, n)=k2); for planar graphs this bound can be improved toO(n+k2). We also show that thek best spanning trees for a set of points in the plane can be computed in timeO(min(k2n+n logn,k2+kn log(n/k))). Thek best orthogonal spanning trees in the plane can be found in timeO(n logn+kn log log(n/k)+k2).
C.R. categoriesF.1.3 F.2.2 G.2.2 I.2.8
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