Geometry of Chemical Graphs

Michel Deza is Director of Research at CNRS, Director of the Laboratoire interdisciplinaire de géométrie appliquée, and a Professor at Ecole Normale Supérieure, Paris. He is Editor-in-chief of the European Journal of Combinatorics and this is his 12th book. Mathieu Dutour Sikirić is a Researcher of Mathematics at Institut Rudjer Bošković, Zagreb. His research interests include enumeration and extremal problems, in relation to plane graph and discrete structures; polyhedral enumeration, Lattices, Delaunay polytopes and dual description problems.

'… a rich source of chemical graphs (and beyond) and their properties. It should thus serve as a standard reference for researchers in the area.' Mathematical Reviews

• Preface; 1. Introduction; 2. Two-faced maps; 3. Fullerenes as tilings of surfaces; 4. Polycycles; 5. Polycycles with given boundary; 6. Symmetries of polycycles; 7. Elementary polycycles; 8. Applications of elementary decompositions to (r, q)-polycycles; 9. Strictly face-regular spheres and tori; 10. Parabolic weakly face-regular spheres; 11. Generalities on 3-valent face-regular maps; 12. Spheres and tori, which are aRi; 13. Frank-Kasper spheres and tori; 14. Spheres and tori, which are bR1; 15. Spheres and tori, which are bR2; 16. Spheres and tori, which are bR3; 17. Spheres and tori, which are bR4; 18. Spheres and tori, which are bRj for j ≥ 5; 19. Icosahedral fulleroids.