A. Ashrafi – Distance, Symmetry, and Topology in Carbon Nanomaterials (2016)

Автор: A. Ashrafi
Название книги: Distance, Symmetry, and Topology in Carbon Nanomaterials
Формат: PDF
Жанр: Нанотехнологии
Страницы: 481
Качество: Изначально компьютерное, E-book

This contributed volume is inspired by the seminal discovery and identification of C60. Starting with a comprehensive discussion featuring graphene based nanostructures, subsequent chapters include topological descriptions of matrices, polynomials and indices, and an extended analysis of the symmetry and topology of nanostructures. Carbon allotropes such as diamond and its connection to higher-dimensional spaces is explored along with important mathematical and topological considerations. Further topics covered include spontaneous symmetry breaking in graphene, polyhedral carbon structures, nanotube junction energetics, and cyclic polyines as relatives of nanotubes and fullerenes. This book is aimed at researchers active in the study of carbon materials science and technology.
Contents
Molecular Dynamics Simulation of Carbon Nanostructures: The Nanotubes
Omega Polynomial in Nanostructures
An Algebraic Modification of Wiener and Hyper–Wiener Indices and Their Calculations for Fullerenes
4 Distance Under Symmetry: (3,6)-Fullerenes
Topological Symmetry of Multi-shell Clusters
Further Results on Two Families of Nanostructures
Augmented Eccentric Connectivity Index of Grid Graphs
Cluj Polynomial in Nanostructures
Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach
Hosoya Index of Splices, Bridges, and Necklaces
The Spectral Moments of a Fullerene Graph and Their Applications
Geometrical and Topological Dimensions of the Diamond
Mathematical Aspects of Omega Polynomial
Edge-Wiener Indices of Composite Graphs
Study of the Bipartite Edge Frustration of Graphs
The Hosoya Index and the Merrifield–Simmons Index of Some Nanostructures
Topological Indices of 3-Generalized Fullerenes
Study of the Matching Interdiction Problem in Some Molecular Graphs of Dendrimers
Nullity of Graphs
Bondonic Chemistry: Spontaneous Symmetry Breaking of the Topo-reactivity on Graphene
Counting Distance and Szeged (on Distance) Polynomials in Dodecahedron Nano-assemblies
Tetrahedral Nanoclusters
Cyclic Carbon Polyynes
Tiling Fullerene Surfaces
Enhancing Gauge Symmetries Via the Symplectic Embedding Approach
A Lower Bound for Graph Energy of Fullerenes