## Abstract

The variable sum exdeg index, initially introduced by Vukicevic (2011) [20] for predicting the octanol water partition co-efficient of certain chemical compounds, is an invariant for a graph G and defined as SEI_{a}(G)=∑_{v∈V(G)}(d_{v}a^{dv}), where d_{v} is the degree of vertex v∈V(G), a is a positive real number different from 1. In this paper, we defined sub-collections of tricyclic graphs say T_{2m}^{3},T_{2m}^{4},T_{2m}^{6} and T_{2m}^{7}. The graph with maximum variable sum exdeg index is characterized from each collection given above with perfect matching. Consequently, through a comparison among these extremal graphs, we indicate the graph which contains maximum SEI_{a}-value from T_{2m}.

Original language | English |
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Article number | e15706 |

Pages (from-to) | 1-11 |

Number of pages | 11 |

Journal | Heliyon |

Volume | 9 |

Issue number | 5 |

Early online date | 27 Apr 2023 |

DOIs | |

Publication status | Published - 1 May 2023 |

## Keywords

- Conjugated tricyclic graph
- Molecular graph
- Variable sum exdeg index