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
相关论文
共 50 条
  • [1] Relations between some topological indices and the line graph
    Walter Carballosa
    Ana Granados
    Domingo Pestana
    Ana Portilla
    José M. Sigarreta
    Journal of Mathematical Chemistry, 2020, 58 : 632 - 646
  • [2] Relations between the general sum connectivity index and the line graph
    Carballosa, Walter
    Pestana, Domingo
    Sigarreta, Jose M.
    Touris, Eva
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2020, 58 (10) : 2273 - 2290
  • [3] CMMSE 18: geometric-arithmetic index and line graph
    Pestana, Domingo
    Sigarreta, Jose M.
    Touris, Eva
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (05) : 1427 - 1447
  • [4] Some results on lower bounds for topological indices
    Martinez-Perez, Alvaro
    Rodriguez, Jose M.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (05) : 1472 - 1495
  • [5] Topological indices of the line graph of subdivision graphs and their Schur-bounds
    Su, Guifu
    Xu, Lan
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 253 : 395 - 401
  • [6] Relations between Zagreb Coindices and Some Distance-Based Topological Indices
    Hua, Hongbo
    Zhang, Shenggui
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (01) : 199 - 208
  • [7] On certain topological indices of the line graph of subdivision graphs
    Nadeem, Muhammad Faisal
    Zafar, Sohail
    Zahid, Zohaib
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 790 - 794
  • [8] General Randic indices of a graph and its line graph
    Liang, Yan
    Wu, Baoyindureng
    OPEN MATHEMATICS, 2023, 21 (01):
  • [9] Certain Topological Indices and Polynomials for Semitotal Line Graph and its Line Graph for Dutch Windmill Graph
    Kanwal, Salma
    Rauf, Asia
    Malik, Shabnam
    Sumbal, Tahira
    Arshad, Misbah
    Irfan, Rida
    Manzoor, Ayesha
    UTILITAS MATHEMATICA, 2020, 117 : 3 - 32
  • [10] M-polynomial and degree-based topological indices and line graph of hex board graph
    Amin, Shahid
    Rehman, Muhammad Aziz Ur
    Aldemir, Mehmet Serif
    Cancan, Murat
    Farahani, Mohammad Reza
    EURASIAN CHEMICAL COMMUNICATIONS, 2020, 2 (12): : 1156 - 1163