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Int. J. Mol. Sci. 2008, 9(3), 229-234; doi:10.3390/ijms9030229

PI Polynomial of V-Phenylenic Nanotubes and Nanotori

1, 2,*  and 3
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
* Author to whom correspondence should be addressed.
Received: 22 October 2007 / Revised: 26 November 2007 / Accepted: 4 December 2007 / Published: 28 February 2008
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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. PI polynomial; molecular graph; phenylenic nanotube and nanotorus.
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Alamian, V.; Bahrami, A.; Edalatzadeh, B. PI Polynomial of V-Phenylenic Nanotubes and Nanotori. Int. J. Mol. Sci. 2008, 9, 229-234.

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