http://repub.eur.nl/res/aut/3921/ List of Publications en http://repub.eur.nl/static-eur/img/logo.png http://repub.eur.nl http://repub.eur.nl/res/pub/34915/ 2012-09-01T00:00:00Z A p-value of a sequence π = (x1, x2,⋯, xk) of elements of a finite metric space (X, d) is an element x for which ∑i=1kdp(x,xi) is minimum. The function ℓpwith domain the set of all finite sequences defined by ℓp(π) = {x: x is a p-value of π} is called the ℓp-function on X. The ℓp-functions with p = 1 and p = 2 are the well-studied median and mean functions respectively. In this article, the ℓp-function on finite trees is characterized axiomatically. http://repub.eur.nl/res/pub/20773/ 2010-09-23T00:00:00Z http://repub.eur.nl/res/pub/37668/ 2010-09-01T00:00:00Z A mean of a sequence π = (x1, x2, …, xk) of elements of a finite metric space (X, d) is an element x for which is minimum. The function Mean whose domain is the set of all finite sequences on X and is defined by Mean (π) = {x|x is a mean of π} is called the mean function on X. In this note, the mean function on finite trees is characterized axiomatically. http://repub.eur.nl/res/pub/18261/ 2010-02-23T00:00:00Z A mean of a sequence π = (x1, x2, . . . , xk) of elements of a finite metric space (X, d) is an element x for which is minimum. The function Mean whose domain is the set of all finite sequences on X and is defined by Mean(π) = { x | x is a mean of π } is called the mean function on X. In this paper the mean function on finite trees is characterized axiomatically. http://repub.eur.nl/res/pub/19259/ 2006-12-01T00:00:00Z A median of a sequence π=x1,x2,…,xk of elements of a finite metric space (X,d) is an element x for which is minimum. The function M with domain the set of all finite sequences on X and defined by M(π)={x:x is a median of π} is called the median function on X, and is one of the most studied consensus functions. Based on previous characterizations of median sets M(π), a generalization of the median function is introduced and studied on various graphs and ordered sets. In addition, new results are presented for median graphs. http://repub.eur.nl/res/pub/6916/ 2005-08-23T00:00:00Z A median of a sequence  = x1, x2, … , xk of elements of a finite metric space (X, d ) is an element x for which  1 ≤ I ≤ k d(x, xi) is minimum. The function M with domain the set of all finite sequences on X and defined by M() = {x: x is a median of } is called the median function on X, and is one of the most studied consensus functions. Based on previous characterizations of median sets M(), a generalization of the median function is introduced and studied on various graphs and ordered sets. In addition, new results are presented for median graphs.