PI polynomial of V-phenylenic nanotubes and nanotori

Vahid Alamian; Amir Bahrami; Behrooz Edalatzadeh

doi:10.3390/ijms9030229

PI polynomial of V-phenylenic nanotubes and nanotori

Int J Mol Sci. 2008 Mar;9(3):229-234. doi: 10.3390/ijms9030229. Epub 2008 Feb 28.

Authors

Vahid Alamian¹, Amir Bahrami², Behrooz Edalatzadeh³

Affiliations

¹ The Organization for Educational Research and Planning (OERP), Iran.
² Department of Mathematics, Islamic Azad University, Garmsar Branch, Garmsar, Iran.
³ Department of Mathematics and Statistics, Shahid Beheshti University, Tehran, Iran.

Abstract

The PI polynomial of a molecular graph is defined to be the sum X(|E(G)|-N(e)) + |V(G)|(|V(G)|+1)/2 - |E(G)| over all edges of G, where N(e) is the number of edges parallel to e. In this paper, the PI polynomial of the phenylenic nanotubes and nanotori are computed. Several open questions are also included.

Keywords: PI polynomial; molecular graph; phenylenic nanotube and nanotorus.