Leafy Spanning
نویسندگان
چکیده
We prove that the d-dimensional hypercube, Hd, with n = 2 d vertices, contains a spanning tree with at least 1 ? 2 log 2 n ? o 1 log n n + 2 leaves. This improves upon the bound implied by a more general result on spanning trees in graphs with minimum degree , which gives 1 ? O(log log n) log 2 n n as a lower bound on the maximum number of leaves in spanning trees of n-vertex hypercubes.
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