Relations between some topological indices and the line graph

被引:6
作者
Carballosa, Walter [1 ]
Granados, Ana [2 ]
Pestana, Domingo [3 ]
Portilla, Ana [2 ]
Sigarreta, Jose M. [4 ]
机构
[1] Florida Int Univ, Dept Math & Stat, 11200 SW 8th St, Miami, FL 33199 USA
[2] St Louis Univ, Madrid Campus,Ave Valle 34, Madrid 28003, Spain
[3] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain
[4] Univ Autonoma Guerrero, Fac Matemat, Carlos E Adame 5, Acapulco, GRO, Mexico
关键词
First Zagreb index; Geometric-arithmetic index; Harmonic index; Vertex-degree-based topological index; Line graph; GEOMETRIC-ARITHMETIC INDEX; HARMONIC INDEX; ZAGREB INDEXES; HYPERBOLICITY; CONNECTIVITY; TREES; PARAMETERS; NUMBER; BOUNDS; CMMSE;
D O I
10.1007/s10910-019-01091-4
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The concepts of geometric-arithmetic and harmonic indices were introduced in the area of chemical graph theory recently. They have proven to correlate well with physical and chemical properties of some molecules. The aim of this paper is to obtain new inequalities involving the first Zagreb, the harmonic, and the geometric-arithmetic GA(1) indices. Furthermore, inequalities relating these indices and line graphs are proven.
引用
收藏
页码:632 / 646
页数:15
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