## Abstract

Graph theory has made much advancement in the field of mathematical chemistry in last few decades. Now a days, chemical graph theory has become very popular among researchers because of its wide range of applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of honeycomb network denoted by HCn and compute the total eccentricity index, average eccentricity index, eccentricity based Zagreb indices, atom-bond connectivity index and geometricarithmetic index of honeycomb networks. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies of this netwrok.

Original language | English |
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Pages (from-to) | 1199-1213 |

Number of pages | 15 |

Journal | Journal of Discrete Mathematical Sciences and Cryptography |

Volume | 22 |

Issue number | 7 |

DOIs | |

Publication status | Published - Oct 3 2019 |

## Keywords

- 05C12
- 05C90
- Atom bond connectivity index
- Average Eccentricity
- Eccentricity based Zagreb indices
- Geometric arithmetic index and Honeycomb Network
- Molecular graph
- Total Eccentricity

## ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Applied Mathematics