图的支配Hyper Zagreb指数问题研究OA

In order to convert the structure of compounds into mathematical objects,researchers use various topolo-gical indices to quantify the structural characteristics of graphs.Among them,the dominating Hyper Zagreb index is an emerging dominating topological index in recent years,which can effectively reveal the structural characteristics of compounds.At present,the research on the extreme values of this index has been carried out for graphs,trees,and wheel graphs with fixed orders.This paper calculates the dominating Hyper Zagreb index and the modified dom-inating Hyper Zagreb index of some special graphs,namely windmill graphs and book graphs,and also explores other properties of this index.