Preface; Contents; Contributors; Chapter 1: Molecular Dynamics Simulation of Carbon Nanostructures: The Nanotubes; 1.1 Introduction; 1.2 Method; 1.2.1 Initial Patterns; 1.2.2 The Molecular Dynamics Simulation; 1.3 Results; 1.3.1 The Armchair Nanotube; 1.3.2 The Zigzag Nanotube; 1.4 Conclusions; References; Chapter 2: Omega Polynomial in Nanostructures; 2.1 Definitions; 2.1.1 Relation co; 2.1.2 Relation op; 2.2 Omega and Related Polynomials; 2.2.1 Definitions and Relations; 2.2.2 Omega Polynomial by Edge-Cutting Procedures; 2.2.3 When ?; 2.2.3.1 Tree Graphs; 2.2.3.2 Planar Polyhexes

2.2.3.3 Nanocones2.2.3.4 Toroidal Graphs; 2.2.3.5 Cubic Net and Corresponding Cage; 2.3 Omega Polynomial in Polybenzenes; 2.3.1 Omega Polynomial in 3-Periodic Polybenzenes; 2.3.2 Omega Polynomial in 1-Periodic Polybenzenes; 2.4 Conclusions; References; Chapter 3: An Algebraic Modification of Wiener and Hyper-Wiener Indices and Their Calculations for Fullerenes; 3.1 Introduction; 3.2 Wiener and Hyper-Wiener Indices of a Fullerene Under Its Symmetry; 3.2.1 The Fullerene Series A[n] and B[n]; 3.2.2 The Fullerene Series C[n] and D[n]; 3.3 Conclusions; References

Chapter 4: Distance Under Symmetry: (3,6)-Fullerenes4.1 Introduction; 4.2 Distance Under Symmetry for (3,6)-Fullerenes; 4.3 Conclusions; References; Chapter 5: Topological Symmetry of Multi-shell Clusters; 5.1 Introduction; 5.2 Design of Clusters; 5.3 Icosahedral Clusters; 5.4 Octahedral Clusters; 5.4.1 Octahedral 3D Clusters; 5.4.2 Octahedral 4D Clusters; 5.5 Computational Details; 5.6 Conclusions; References; Chapter 6: Further Results on Two Families of Nanostructures; 6.1 Introduction; 6.2 The Wiener, Szeged, and Cluj-Ilmenau Indices of CNC4[n] Nanocones

6.3 Topological Indices of N-Branched Phenylacetylene Nanostar DendrimerReferences; Chapter 7: Augmented Eccentric Connectivity Index of Grid Graphs; 7.1 Introduction; 7.2 Definitions and Preliminaries; 7.3 Main Results; 7.3.1 Grid Graphs; 7.3.2 Cylinders; 7.3.3 Tori; 7.4 Concluding Remarks; References; Chapter 8: Cluj Polynomial in Nanostructures; 8.1 Introduction; 8.2 Cluj and Related Polynomials; 8.3 More Examples; 8.3.1 Bipartite Graph; 8.4 Cluj Polynomials in Nanostructures; 8.4.1 Cluj Polynomials in pcu Cubic Net; 8.4.2 Cluj Polynomials in Nanocones

8.4.3 Cluj Polynomials in Bipartite Tori8.4.4 Cluj Polynomials in Tori (4,4); 8.4.4.1 Square-Tiled Tori; 8.4.4.2 Rhomb-Tiled Tori; 8.4.5 Cluj Polynomial in TiO2Networks; 8.4.6 Cluj Polynomial in flu Crystal Network; 8.4.7 Cluj Polynomial in Circumcoronenes; 8.5 Cluj Polynomials in Dendrimers; 8.6 Conclusions; References; Chapter 9: Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach; 9.1 Introduction; 9.2 Graphene Derivatives; 9.2.1 Nanocones C(a,n); 9.2.2 Hourglasses CC(a,n,t); 9.2.3 CorSu Lattice; 9.3 Topological Background