The mean function on finite trees
Oscar Ortega
Department of Applied Mathematics
Illinois Institute of Technology
A mean of a sequence π = (x1,x2,...,xn) of elements of a finite metric space (X, d) is an element x for which d²(x,x1)+...+d²(x,xn) is minimum. The function "Mean" with domain the set of all finite sequences on X and defined by Mean(π) = { x : x is a mean of π} is called the mean function on X. In this talk an axiomatic characterization of the mean function on finite trees is presented.