Graph-theoretical methods for nanostructures and nanomaterials

Chemical graph theory is a recent and rapidly developing interdisciplinary science branch between discrete mathematics and theoretical chemistry. Using the tools and methods of graph theory, it investigates the properties of graphs which represent the molecular structure of chemical compounds. The results obtained by these methods often correlate with chemical properties of molecules or physical properties of compounds, respectively. Within the wide and diverse fields of research in chemical graph theory, one can select two main areas. The first area concerns the study of properties of graphs of selected organic compounds, in particular, benzenoids, fullerenes, nanosheets, nanotubes and other nanomaterials; the second area deals with topological indices or theoretical molecular descriptors.