Ashrafi, Ali Reza and Loghman, Amir (2006) *Padmakar-Ivan index of TUC4C8(S) nanotubes.* JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 3 (3). pp. 378-381.

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## Abstract

A C4C8 net is a trivalent decoration made by alternating squares C-4 and octagons C-8. Such a covering can be derived from square net by the leapfrog operation. Stefu and Diudea recently computed the Wiener index of such nanotubes (see Monica Stefu and Mircea V. Diudea, MATCH-Commun. Math. Comput. Chem. 50, 133 (2004).). The Padmakar-lvan (PI) index of a graph G is defined as PI(G)=Sigma[n(eu)(e vertical bar G)+n(ev)(e vertical bar G)], where n(eu)(e vertical bar G) is the number of edges of G lying closer to u than to v, n(ev)(e vertical bar G) is the number of edges of G lying closer to v than to u and summation goes over all edges of G. This topological Index is developed very recently. In this paper, an exact expression for PI index of the TUC4C8(S) nanotubes is given.

Item Type: | Article |
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Uncontrolled Keywords: | PI index; TUC4C8(S) nanotube |

Subjects: | Material Science > Functional and hybrid materials Physical Science > Nano objects |

ID Code: | 3697 |

Deposited By: | Farnush Anwar |

Deposited On: | 22 Jan 2009 13:07 |

Last Modified: | 29 Jan 2009 12:20 |

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