The Schultz Polynomial of Zigzag Polyhex Nanotubes
Mehdi Eliasi and Bijan Taeri*

Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran
E-mail: b.taeri@cc.iut.ac.ir

Abstract

The Schultz polynomial, S(G,x), of a molecular graph G has the property that its first derivative at x=1 is equal to the Schultz index of graph. Ivan Gutman discovered that in the case of G is a tree, S(G,x), has closely related to the Wiener polynomial of G. In this paper, we find the exact expression for Schultz polynomial of TUHC6 [2p; q], the zigzag polyhex nanotubes, and obtain a relation between Schultz and Wiener polynomials of TUHC6 [2p; q].

Keywords

Schultz index, Schultz polynomial, Nanotube.
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  • Asian J. Chem. /
  •  2009 /
  •  21(2) /
  •  pp 931-941