A new geometric¨Carithmetic index

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• 作者：Gholamhossein Fath-Tabar ; Boris Furtula and Ivan Gutman
• 关键词：Geometric– ; arithmetic index ; Szeged index ; PI index ; Distance (in graph) ; Molecular ; structure descriptor
• 刊名：Journal of Mathematical Chemistry
• 出版年：2010
• 出版时间：January, 2010
• 年：2010
• 卷：47
• 期：1
• 页码：477-486
• 全文大小：183.1 KB

文摘

A new molecular-structure descriptor GA ₂, belonging to the class of geometric–arithmetic indices, is considered. It is closely related to the Szeged and vertex PI indices. The main properties of GA ₂ are established, including lower and upper bounds. The trees with minimum and maximum GA ₂ are characterized.