%0 Journal Article %T A New Algorithm for Building Alphabetic Minimax Trees %A Travis Gagie %J Mathematics %D 2008 %I arXiv %X We show how to build an alphabetic minimax tree for a sequence (W = w_1, >..., w_n) of real weights in (O (n d \log \log n)) time, where $d$ is the number of distinct integers (\lceil w_i \rceil). We apply this algorithm to building an alphabetic prefix code given a sample. %U http://arxiv.org/abs/0810.5064v1