Geometry of Chemical Graphs

Polycycles and Two-faced Maps

Michel Deza (Ecole Normale Supérieure, Paris), Mathieu Dutour Sikirić

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English

Cambridge University Press
26 June 2008

Geometry; Combinatorics & graph theory

Series: Encyclopedia of Mathematics and its Applications

Polycycles and symmetric polyhedra appear as generalisations of graphs in the modelling of molecular structures, such as the Nobel prize winning fullerenes, occurring in chemistry and crystallography. The chemistry has inspired and informed many interesting questions in mathematics and computer science, which in turn have suggested directions for synthesis of molecules. 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. Organised so that, after reading the introductory chapter, each chapter can be read independently from the others, the book should be accessible to researchers and students in graph theory, discrete geometry, and combinatorics, as well as to those in more applied areas such as mathematical chemistry and crystallography. Many of the results in the subject require the use of computer enumeration; the corresponding programs are available from the author's website.

By: Michel Deza (Ecole Normale Supérieure Paris), Mathieu Dutour Sikirić
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 119
Dimensions: Height: 241mm, Width: 165mm, Spine: 24mm
Weight: 610g
ISBN: 9780521873079
ISBN 10: 052187307X
Series: Encyclopedia of Mathematics and its Applications
Pages: 316
Publication Date: 26 June 2008
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Michel Deza is Director of Research at CNRS, Director of the Laboratoire interdisciplinaire de geometrie appliquee, and a Professor at Ecole Normale Superieure, Paris. He is Editor-in-chief of the European Journal of Combinatorics and this is his 12th book. Mathieu Dutour Sikiri is a Researcher of Mathematics at Institut Rudjer Boskovi , 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.

Reviews for Geometry of Chemical Graphs: Polycycles and Two-faced Maps

'… 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