%0 Journal Article
%T Counting the spanning trees of the 3-cube using edge slides
%A Christopher Tuffley
%J Mathematics
%D 2011
%I arXiv
%X We give a direct combinatorial proof of the known fact that the 3-cube has 384 spanning trees, using an "edge slide" operation on spanning trees. This gives an answer in the case n=3 to a question implicitly raised by Stanley. Our argument also gives a bijective proof of the n=3 case of a weighted count of the spanning trees of the n-cube due to Martin and Reiner.
%U http://arxiv.org/abs/1109.6393v2