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New Zealand Mathematics Colloquium 2001
December 3-6, 2001
Massey University
Palmerston North, New Zealand

Organizers
Dr I. Boglaev, Dr M. Carter, Dr J. Hudson, Dr C. Little (convenor), Ass. Prof R. McLachlan, Ass. Prof C. Lai

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Antipodal metric spaces and their tight span
by
Katharina Huber
TFM
Coauthors: Vincent Moulton, Jack H. Koolen

T-theory is a thriving new field in the area of Discrete Mathematics with applications to such diverse fields as phylogenetic analysis, the k-server problem, and the theory of multicommodity flows. Its main object of interest is the tight span T(X, d) of a metric space (X, d). Although in general a highly complicated object, a very concrete description of T(X, d) is known in case X is finite. Based on this description structural insight into T(X, d) could be gained for a number of special classes of finite metric spaces.

In this talk, we will first introduce and briefly discuss the relevant notions from T-theory and then present some new results for the tight span of a (finite) antipodal metric space.

Date received: October 29, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahf-41.