The Hyper-Zagreb Index of Trees and Unicyclic Graphs

2018/08/30 by Hassan Rezapour, Rezapour, Hassan, Ramin Nasiri +3
Chemistry · Computer Science · Mathematics · #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Graph theory and applications #History and advancements in chemistry

paper · pdf · doi:10.48550/arxiv.1808.10441

openalex publication_date 2018/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Applications in chemistry motivated mathematicians to define different topological indices for different types of graphs. The Hyper-Zagreb index (HM) is an important tool as it integrates the first and the second Zagreb indices. In this paper, we characterize the trees and unicyclic graphs with the first four and first eight greatest HM-value, respectively.

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