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