On Van, r and s topological properties of the Sierpinski triangle networks

被引：3
作者：
Ediz, Suleyman [1 ]
Alaeiyan, Mehdi [2 ]
Farahani, Mohammad Reza [2 ]
Cancan, Murat [1 ]
机构：
[1] Van Yuzuncu Yil Univ, Fac Educ, Van, Turkey
[2] Iran Univ Sci & Technol IUST Narmak, Dept Math, Tehran 16844, Iran
来源：
EURASIAN CHEMICAL COMMUNICATIONS | 2020年 / 2卷 / 07期
关键词：
R indices; S indices; Sierpinski triangle; Van indices; CONNECTIVITY; INDEXES;
D O I：
10.33945/SAMI/ECC.2020.7.9
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
A topological index-a numerical quantity derived from the graph of a chemical network-is used for modelling the mathematical, chemical and physical properties of these networks and chemicals. The topological properties of the Sierpinski triangle has been newly studied in chemical graph theory. In this study we defined novel Van, R and S degree concepts as well as novel Van, R and S topological indices, and computed these topological indices for the Sierpinski triangle network. The closed formulas of these novel topological indices for the Sierpinski triangle network were presented.
引用
收藏
页码：819 / 826
页数：8
相关论文
共 14 条
[1]   The eccentric connectivity index of polycyclic aromatic hydrocarbons [PAHs] [J].
Alaeiyan, Mehdi ;
Natarajan, Chidambaram ;
Sathiamoorthy, G. ;
Farahani, Mohammad Reza .
EURASIAN CHEMICAL COMMUNICATIONS, 2020, 2 (06) :646-651
[2]   A Fractal-Based Authentication Technique Using Sierpinski Triangles in Smart Devices [J].
Ali, Adnan ;
Rafique, Hamaad ;
Arshad, Talha ;
Alqarni, Mohammed A. ;
Chauhdary, Sajjad Hussain ;
Bashir, Ali Kashif .
SENSORS, 2019, 19 (03)
[3]   On ve-degree atom-bond connectivity, sum-connectivity,geometric-arithmetic and harmonic indices of copper oxide [J].
Cancan, Murat ;
Ediz, Suleyman ;
Farahani, Mohammad Reza .
EURASIAN CHEMICAL COMMUNICATIONS, 2020, 2 (05) :641-645
[4]   ECCENTRIC DISTANCE SUM OF SIERPINSKI GASKET AND SIERPINSKI NETWORK [J].
Chen, Jin ;
He, Long ;
Wang, Qin .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (02)
[5]   On a recursive construction of Dirichlet form on the Sierpinski gasket [J].
Gu, Qingsong ;
Lau, Ka-Sing ;
Qiu, Hua .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (01) :674-692
[6]   GRAPH THEORY AND MOLECULAR-ORBITALS - TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].
GUTMAN, I ;
TRINAJSTIC, N .
CHEMICAL PHYSICS LETTERS, 1972, 17 (04) :535-538
[7]  
Jiang Z., 2018, J STAT PHYS, V172, P1
[8]   Computation of bond incident degree (BID) indices of complex structures in drugs [J].
Liu, Jia-Bao ;
Baig, Abdul Qudair ;
Imran, Muhammad ;
Khalid, Waqas ;
Saeed, Muhammad ;
Farahani, Mohammad Reza .
EURASIAN CHEMICAL COMMUNICATIONS, 2020, 2 (06) :672-679
[9]   Valency-Based Topological Descriptors and Structural Property of the Generalized Sierpinski Networks [J].
Liu, Jia-Bao ;
Zhao, Jing ;
He, Hailang ;
Shao, Zehui .
JOURNAL OF STATISTICAL PHYSICS, 2019, 177 (06) :1131-1147
[10]   CHARACTERIZATION OF MOLECULAR BRANCHING [J].
RANDIC, M .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1975, 97 (23) :6609-6615
12