Geometry of Chemical Graphs - Polycycles and Two-Faced Maps

Informationen zum Autor 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. Klappentext Mathematical tools for the study of generalisations of graphs appearing in the modelling of molecular structures. Zusammenfassung Polycycles and symmetric polyhedra appear as generalisations of graphs in the modelling of molecular structures occurring in chemistry and crystallography. Here the authors give access to new results in the theory of polycycles and two-faced maps together with the relevant background material and mathematical tools for their study. Inhaltsverzeichnis 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.

Product details

• Authors: Michel Deza, Michel (Ecole Normale Superieure Deza, Michel Dutour Sikiric Deza, Mathieu Dutour Sikiri, Mathieu Dutour Sikiri¿, Mathieu Dutour Sikiric, Mathieu Dutour Sikiric
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 26.06.2008
• EAN: 9780521873079
• ISBN: 978-0-521-87307-9
• No. of pages: 316
• Series: Encyclopedia of Mathematics an; Encyclopedia of Mathematics and its Applications; Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous