Topological Properties of Para-Line Graph of Some Convex Polytopes Using Neighborhood M-Polynomial

被引:21
作者
Mondal, Sourav [1 ]
De, Nilanjan [2 ]
Siddiqui, Muhammad Kamran [3 ]
Pal, Anita [1 ]
机构
[1] Natl Inst Technol Durgapur, Durgapur, India
[2] Calcutta Inst Engn & Management, Kolkata, India
[3] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan
关键词
convex polytopes; line graph; neighborhood M-polynomial; subdivision graph; topological index; INDEXES;
D O I
10.33263/BRIAC113.99159927
中图分类号
O69 [应用化学];
学科分类号
081704 ;
摘要
The neighborhood M-polynomial is effective in recovering neighborhood degree sum based topological indices that predict different physicochemical properties and biological activities of molecular structures. Topological indices can transform the information found in molecular graphs and networks into numerical characteristics and thus make a major contribution to the study of structureproperty and structure-activity relationships. In this work, the neighborhood M-polynomial of the paraline graph of some convex polytopes is obtained. From the neighborhood M-polynomial, some neighborhood degree-based topological indices are recovered. Applications of the work are described. In addition, a quantitative and graphical comparison is made.
引用
收藏
页码:9915 / 9927
页数:13
相关论文
共 30 条
[1]   PI polynomial of V-phenylenic nanotubes and nanotori [J].
Alamian, Vahid ;
Bahrami, Amir ;
Edalatzadeh, Behrooz .
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2008, 9 (03) :229-234
[2]  
Ashrafi AR, 2006, UTILITAS MATHEMATICA, V71, P97
[3]   On topological properties of some convex polytopes by using line operator on their subdivisions [J].
Asif, Fatima ;
Zahid, Zohaib ;
Zafar, Sohail ;
Farahani, Mohammad R. ;
Gao, Wei .
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (01) :136-146
[4]  
BACA M, 1988, UTILITAS MATHEMATICA, V34, P24
[5]  
Baca M., 1992, Ann. Discrete Math., V51, P13
[6]  
Deutsch E, 2015, IRAN J MATH CHEM, V6, P93
[7]   A DFT study of NMR parameters for MgO nanotubes [J].
Farahani, M. ;
Ghasemi, Z. ;
Seif, A. .
INTERNATIONAL JOURNAL OF NANO DIMENSION, 2013, 4 (01) :1-5
[8]   THE THIRD VERSION OF ZAGREB INDEX [J].
Ghorbani, Modjtaba ;
Hosseinzadeh, Mohammad A. .
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2013, 5 (04)
[9]  
Grunbaum B., 2003, GRADUATE TEXT MATH C
[10]   Topological indices based on the line graph of the molecular graph [J].
Gutman, I ;
Estrada, E .
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1996, 36 (03) :541-543