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22nd Cumberland Conference on Combinatorics, Graph Theory and Computing
May 21-23, 2009
Western Kentucky University
Bowling Green, KY, USA

Organizers
Bela Csaba, Chair; Mustafa Atici; Robert Crawford; Claus Ernst; Dominic Lanphier; Attila Por

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On the second order Randic index of trees
by
Yiting Yang
University of South Carolina
Coauthors: Laszlo A. Szekely

Let G be a simple graph. The second Randic index of G is defined as

2R(G)=∑xyz 1/(dxdydz)1/2

where the summation runs over all paths xyz of length two, contained in G. It was first considered by chemists Randic, Kier and Hall in the study of branching properties of alkanes. One interesting problem on it is to find the maximum and minimum 2R value and its corresponding graphs among classes of graphs. In this talk, we will talk about the maximum and minimum 2R value on trees with fixed size.

Date received: April 23, 2009

Copyright © 2009 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 # cayq-37.