## Abstract

Counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the corresponding partition. These polynomials were proposed on the ground of quasi-orthogonal cuts edge strips in polycyclic graphs. These counting polynomials are useful in the topological description of bipartite structures as well as in counting some single number descriptors, i.e. topological indices. These polynomials count equidistant and non-equidistant edges in graphs.In this paper, Omega, Sadhana and PI polynomials are computed for Benzoid nanotubes for the first time. The analytical closed formulas of these polynomials for the circumcoronene series of benzenoid H_{K}, hexagonal parallelogram p(m,n)and zigzag-edge coronoid fused with starphnene ZCS(k,l,m)nanotubes are derived in this paper

Original language | English |
---|---|

Pages (from-to) | 248-255 |

Number of pages | 8 |

Journal | Optoelectronics and Advanced Materials, Rapid Communications |

Volume | 9 |

Issue number | 1-2 |

Publication status | Published - 2015 |

Externally published | Yes |

## Keywords

- Counting polynomial
- H nanotube
- Omega polynomial
- P(m,n) nanotube
- PI polynomial
- Sadhana polynomial
- ZCS(KLM)nanotube

## ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering