The mean function on finite trees

A mean of a sequence π = (x₁,x₂,...,x_n) of elements of a finite metric space (X, d) is an element x for which d²(x,x₁)+...+d²(x,x_n) 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.

Event Topic

Discrete Applied Math Seminar