IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Extremal values of ratios: distances vs. number of subtrees in trees

  • Nov. 18, 2013
  • 3:15 p.m.
  • LeConte 312

Abstract

We consider the behavior of distances between vertices and number of subtrees, as topological indices, in trees. The extremal ratios of the corresponding local functions of such indices at the "middle part" or leaves are given and the structures achieving such extremal ratios are characterized. This is joint work with Laszlo Szekely.

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