TITLE:
The Antimedian Function on Paths
AUTHORS:
Oscar Ortega, Yue Wang
KEYWORDS:
Status, Location Function, Antimedian, Antimedian Function
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.4 No.3,
July
30,
2014
ABSTRACT:
An antimedian of a sequence of elements of a finite metric space is an element for which is a maximum. The function with domain the set
of all finite sequences on , and defined by {:is an antimedian of } is called the antimedian
function on . In this note, the antimedian
function on finite paths is axiomatically characterized.