典型文献
Unicyclic graphs with extremal Lanzhou index
文献摘要：
Very recently D.Vuki?evi? et al.[8]introduced a new topological index for a molec-ular graph G named Lanzhou index as Lz(G)=Σu∈V(G)(—du)d2u,where du and(—du)denote the degree of vertex u in G and in its complement respectively.Lanzhou index Lz(G)can be ex-pressed as(n-1)M1(G)-F(G),where Mi(G)and F(G)denote the first Zagreb index and the forgotten index of G respectively,and n is the number of vertices in G.It turns out that Lanzhou index outperforms Mi(G)and F(G)in predicting the logarithm of the octanol-water partition coefficient for octane and nonane isomers.It was shown that stars and balanced double stars are the minimal and maximal trees for Lanzhou index respectively.In this paper,we determine the unicyclic graphs and the unicyclic chemical graphs with the minimum and maximum Lanzhou indices separately.
文献关键词：
中图分类号：
作者姓名：
LIU Qian-qian;LI Qiu-li;ZHANG He-ping
作者机构：
School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China
文献出处：
引用格式：
[1]LIU Qian-qian;LI Qiu-li;ZHANG He-ping-.Unicyclic graphs with extremal Lanzhou index)[J].高校应用数学学报B辑（英文版）,2022(03):350-365
A类：
Vuki,d2u
B类：
Unicyclic,graphs,extremal,Lanzhou,Very,recently,evi,introduced,new,topological,molec,ular,named,Lz,where,denote,degree,vertex,its,complement,respectively,can,pressed,M1,Mi,first,Zagreb,forgotten,number,vertices,It,turns,that,outperforms,predicting,logarithm,octanol,water,partition,coefficient,octane,nonane,isomers,was,shown,stars,balanced,double,are,minimal,maximal,trees,In,this,paper,we,determine,unicyclic,chemical,minimum,maximum,indices,separately
AB值：
0.560324
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