Distance, Symmetry, and Topology in Carbon Nanomaterials

Front Matter....Pages i-xiv
Molecular Dynamics Simulation of Carbon Nanostructures: The Nanotubes....Pages 1-12
Omega Polynomial in Nanostructures....Pages 13-31
An Algebraic Modification of Wiener and Hyper–Wiener Indices and Their Calculations for Fullerenes....Pages 33-50
Distance Under Symmetry: (3,6)-Fullerenes....Pages 51-60
Topological Symmetry of Multi-shell Clusters....Pages 61-82
Further Results on Two Families of Nanostructures....Pages 83-93
Augmented Eccentric Connectivity Index of Grid Graphs....Pages 95-102
Cluj Polynomial in Nanostructures....Pages 103-132
Graphene Derivatives: Carbon Nanocones and CorSu Lattice: A Topological Approach....Pages 133-146
Hosoya Index of Splices, Bridges, and Necklaces....Pages 147-156
The Spectral Moments of a Fullerene Graph and Their Applications....Pages 157-166
Geometrical and Topological Dimensions of the Diamond....Pages 167-188
Mathematical Aspects of Omega Polynomial....Pages 189-216
Edge-Wiener Indices of Composite Graphs....Pages 217-247
Study of the Bipartite Edge Frustration of Graphs....Pages 249-267
The Hosoya Index and the Merrifield–Simmons Index of Some Nanostructures....Pages 269-280
Topological Indices of 3-Generalized Fullerenes....Pages 281-301
Study of the Matching Interdiction Problem in Some Molecular Graphs of Dendrimers....Pages 303-315
Nullity of Graphs....Pages 317-343
Bondonic Chemistry: Spontaneous Symmetry Breaking of the Topo-reactivity on Graphene....Pages 345-389
Counting Distance and Szeged (on Distance) Polynomials in Dodecahedron Nano-assemblies....Pages 391-408
Tetrahedral Nanoclusters....Pages 409-421
Cyclic Carbon Polyynes....Pages 423-436
Tiling Fullerene Surfaces....Pages 437-446
Enhancing Gauge Symmetries Via the Symplectic Embedding Approach....Pages 447-461
A Lower Bound for Graph Energy of Fullerenes....Pages 463-471
Back Matter....Pages 473-477