## Abstract

Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as the Randić, the atom-bond connectivity (ABC) and the geometric-arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study poly honeycomb networks which are generated by a honeycomb network of dimension n and derive analytical closed results for the general Randić index R_{α}(G) for different values of α, for a David derived network (DD(n)) of dimension n, a dominating David derived network (DDD(n)) of dimension n as well as a regular triangulene silicate network of dimension n. We also compute the general first Zagreb, ABC, GA, ABC_{4}and GA_{5}indices for these poly honeycomb networks for the first time and give closed formulas of these degree based indices in case of poly honeycomb networks.

Original language | English |
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Pages (from-to) | 100-119 |

Number of pages | 20 |

Journal | Periodica Mathematica Hungarica |

Volume | 73 |

Issue number | 1 |

DOIs | |

Publication status | Published - Sept 1 2016 |

Externally published | Yes |

## Keywords

- Atom-bond connectivity (ABC) index
- David derived networks
- General Randić index
- Geometric-arithmetic (GA) index
- Regular triangulene silicate network

## ASJC Scopus subject areas

- Mathematics(all)