Preface.- Introduction.- The Chemical Connection.- The Coulson Integral Formula.- Common Proof Methods.- Bounds for the Energy of Graphs.- The Energy of Random Graphs.- Graphs Extremal with with Regard to Energy.- Hypernergetic and Equienergetic Graphs.- Miscellaneous.- Other Graph Energies.- Bibliography.- Index.
This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger's result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual development of topics and the inclusion of complete proofs from most of the important recent results in the area. The latter fact makes it a valuable reference for researchers looking to get into the field of graph energy, further stimulating it with occasional inclusion of open problems. The book provides a comprehensive survey of all results and common proof methods obtained in this field with an extensive reference section. The book is aimed mainly towards mathematicians, both researchers and doctoral students, with interest in the field of mathematical chemistry.
One of the first books on this topic Graph energy is a topic within Spectral Graph Theory and (more generally) Discrete Mathematics Graph energy is also of interest to chemists