Extremal Values of Ratios: Distances vs. Number of Subtrees in Trees

Document Type

Presentation

Presentation Date

11-18-2013

Abstract or Description

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.

Sponsorship/Conference/Institution

University of South Carolina Combinatorics Seminar

Location

Columbia, SC

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