Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers

被引：0

作者：

Muhammad Kamran Siddiqui

Muhammad Imran

Muhammad Azhar Iqbal

机构：

[1] COMSATS University Islamabad,Department of Mathematics

[2] United Arab Emirates University,Department of Mathematical Sciences

[3] National University of Sciences and Technology (NUST),Department of Mathematics, School of Natural Sciences (SNS)

[4] Riphah International University Islamabad,Department of Basic Sciences

来源：

Journal of Applied Mathematics and Computing | 2019年 / 61卷

关键词：

Molecular descriptor; Fractal and Cayley tree type dendrimers; Zagreb type indices; Augmented Zagreb index; Balaban index; Forgotten topological index; 05C12; 05C90;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Graph theory plays an important role in modeling and designing any chemical network. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity and biological activity are determined by the chemical applications of graph theory. These properties can be characterized by certain graph invariants referred to as topological indices. A molecular descriptor (topological index) is a numerical representation of a chemical structure which correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. Chemical graph theory plays an important role in modeling and designing any chemical network as well as in discrete dynamical systems. These properties can be characterized by certain graph invariants referred to as topological indices in discrete dynamical systems. In this paper, we discuss the fractal and Cayley tree type dendrimers and computed exact results for degree based molecular descriptor.

引用

页码：57 / 72

页数：15

共 15 条

[1] Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers
Siddiqui, Muhammad Kamran
Imran, Muhammad
Iqbal, Muhammad Azhar
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 61 (1-2) : 57 - 72
[2] Neighborhood degree sum-based molecular descriptors of fractal and Cayley tree dendrimers
Mondal, Sourav
De, Nilanjan
Pal, Anita
EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (03):
[3] Neighborhood degree sum-based molecular descriptors of fractal and Cayley tree dendrimers
Sourav Mondal
Nilanjan De
Anita Pal
The European Physical Journal Plus, 136
[4] On Topological Indices of Fractal and Cayley Tree Type Dendrimers
Imran, Muhammad
Baig, Abdul Qudair
Khalid, Waqas
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
[5] Size-dependency of polarizabilities of fractal- and nonfractal-structured oligomers modeled after dendron parts in Cayley-tree-type dendrimers
Nakano, M
Fujita, H
Takahata, M
Yamaguchi, K
JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (02): : 1052 - 1059
[6] A DISCRETE DYNAMICAL SYSTEM ARISING IN MOLECULAR BIOLOGY
Levine, Howard A.
Seo, Yeon-Jung
Nilsen-Hamilton, Marit
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (06): : 2091 - 2151
[7] Third-order nonlinear optical properties of fractal- and nonfractal-structured oligomers modeled after dendron parts in Cayley-tree-type dendrimers
Nakano, M
Fujita, H
Takahata, M
Yamaguchi, K
JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (14): : 6780 - 6784
[8] Third-order nonlinear optical properties of dendron parts in cayley-tree-type dendrimers.
Nakano, M
Fujita, H
Takahata, M
Yamaguchi, K
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2001, 221 : U416 - U416
[9] Fibonacci-type polynomial as a trajectory of a discrete dynamical system
He M.X.
Ricci P.E.
Simon D.S.
Rendiconti del Circolo Matematico di Palermo, 2002, 51 (2) : 367 - 374
[10] A DYNAMICAL SYSTEM APPROACH TO PHASE TRANSITIONS FOR p-ADIC POTTS MODEL ON THE CAYLEY TREE OF ORDER TWO
Mukhamedov, Farrukh
REPORTS ON MATHEMATICAL PHYSICS, 2012, 70 (03) : 385 - 406

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