Harry KROTO: Foreword -- 1. Ali Reza ASHRAFI/Mircea DIUDEA/Ante GRAOVAC: Omega Polynomials of Fullerenes and Nanotubes -- 2. Ali Reza ASHRAFI: Wiener Index of Nanotubes, Toroidal Fullerenes and Nanostars -- 3. Mircea DIUDEA/A. E. Vizitiu: C60 Structural Relatives. An Omega-aided Topological Study -- 4. Istvan LASZLO/Reti TAMAS/Ante GRAOVAC: Local Combinatorial Characterization of Fullerenes -- 5. Ali IRANMANESH: Computation of some Topological Indices of C60 and C80 Fullerenes by GAP Program -- 6. Mathieu Dutour SIKIRIC/Michel DEZA: 4-Regular and Self-Dual Analogs of Fullerenes -- 7. Helena DODZIUK: Endohedral fullerene complexes and in- out isomerism in perhydrogenated fullerenes. Why the carbon cages cannot be used as the hydrogen containers? -- 8. Damir VUKICEVIC/Milan RANDIC: Detailed Atlas of Kekulé Structures of the Buckminsterfullerene -- 9. Ernesto ESTRADA: A Graph Theoretic Approach to Atomic Displacements in Fullerenes -- 10.E.C. KIRBY/R.B. MALLION/P. POLLAK: Counting Spanning Trees in Toroidal Fullerenes -- 11. O.ORI, F.CATALDO, A.GRAOVAC: Topological Determination of 13C-NMR Spectra of C66 Fullerenes -- 12. Giorgio BENEDEK: The Topological Background of Schwarzite Physics -- 13. Haruo HOSOYA: High π-Electronic Stability of Soccer Ball Fullerene C60 and Truncated Octahedron C24 among Spherically Polyhedral Networks -- 14. Patrick W. FOWLER/A.GRAOVAC: The Estrada Index and Fullerene Isomerism.

Mathematics and Topology of Fullerenes presents a comprehensive overview of scientific and technical innovations in theoretical and experimental studies. Topics included in this multi-author volume include: Clar structures for conjugated nanostructures; counting polynomials of fullerenes; topological indices of fullerenes; the wiener index of nanotubes; toroidal fullerenes and nanostars;  C60 Structural relatives: a topological study; local combinatorial characterization of fullerenes; computation of selected topological indices of C60 and C80 Fullerenes via the Gap Program; 4valent- analogues of fullerenes; a  detailed atlas of Kekule structures of C60.   This multi-author volume is targeted at advanced graduates and researchers working in carbon materials, chemistry and physics.