Extremal First Leap Zagreb Index of k-Generalized Quasi-Trees  

作　　者：Pei SUN Kai LIU 

机构地区：[1]School of Mathematics,Zhengzhou University of Aeronautics,Henan 450046,P.R.China [2]College of Sciences,Henan University of Engineering,Henan 451191,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第3期221-229,共9页数学研究及应用（英文版）

基　　金：Supported by the Foundation of Henan Department of Science and Technology(Grant No.182102310830);the Foundation of Henan University of Engineering(Grant No.D2016018);the Foundation of Henan Educational Committee(Grant Nos.20A110016;2020GGJS239)。

摘　　要：For a graph G,the first leap Zagreb index is defined as LM_(1)(G)=∑_(ν∈V(G))d_(2)(v/G)^(2),where d_(2)(v/G) is the 2-distance degree of a vertex v in G.Let QT^(k)(n) be the set of kgeneralized quasi-trees with n vertices.In this paper,we determine the extremal elements from the set QT^(k)(n) with respect to the first leap Zagreb index.

关 键 词：k-generalized quasi-trees the first leap Zagreb index 2-distance degree 

分 类 号：O157.5[理学—数学]