Axiomatic characterization of the mean function on trees
September 2010
Article
volume 2, issue 3 pp 313-329.
This publication is part of collection
| Related Files |
|---|
View PDF Version
(EI2010-07.pdf, 0.2MB) |
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.
Keywords
Automatically Extracted Terms
- function
- − ss π
- lemma
- axiom
- location
- property
- location function
- vertex
- vertice
- satis fies axioms
- 2 r π
- proof
- result
- bc ∈ e
- condition
- square status
- satis fies
- vs −1
- element
- consensus
