## Abstract

Counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the corresponding partition. In this paper, Omega, Sadhana and PI polynomials are computed for Multilayer Hex-Cells nanotubes, One Pentagonal Carbon nanocones and Melem Chain nanotubes. 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, analytical closed formulas of these polynomials for Multi-layer Hex-Cells MLH (k, d) nanotubes, One Pentagonal Carbon CNC5 (n) nanocones and Melem Chain MC (n) nanotubes are derived.

Original language | English |
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Pages (from-to) | 877-883 |

Number of pages | 7 |

Journal | Journal of Optoelectronics and Advanced Materials |

Volume | 17 |

Issue number | 5-6 |

Publication status | Published - May 1 2015 |

Externally published | Yes |

## Keywords

- CNC5 (n) nanocones
- Counting polynomial
- MC (n) nanotubes
- MLH (k d) nanotubes
- Omega polynomial
- PI polynomial
- Sadhana polynomial

## ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Condensed Matter Physics
- Electrical and Electronic Engineering