Axiomatic Characterization of the Mean Function on Trees
2010-02-23
Research Paper
pp 1-18.
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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.
Keywords
Automatically Extracted Terms
- function
- profile
- lemma
- axiom
- location
- property
- location function
- vertex
- vertice
- proof
- result
- condition
- square status
- tree t
- m ean
- location functions
- element
- consensus
- notice
- respect
