An axiomatization of the median procedure on the n-cube

@article{Mulder2011AnAO,
title={An axiomatization of the median procedure on the n-cube},
author={Henry Martyn Mulder and Beth Novick},
journal={Discrete Applied Mathematics},
year={2011},
volume={159},
pages={939-944}
}

Abstract The general problem in location theory deals with functions that find sites on a graph (discrete case) or network (continuous case) in such a way as to minimize some cost (or maximize some benefit) to a given set of clients represented by vertices on the graph or points on the network. The axiomatic approach seeks to uniquely distinguish, by using a list of intuitively pleasing axioms, certain specific location functions among all the arbitrary functions that address this problem. For… CONTINUE READING