Graph Energy

ISBN-13: 9781461442196 / Angielski / Twarda / 2012 / 268 str.

Xueliang Li; Yongtang Shi; Ivan Gutman

Opis

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 graphsor 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.

Recenzje

From the reviews:

"This book summarizes the most important results involving graph energy. It is addressed to researchers in areas such as spectral graph theory, combinatorics and linear algebra, as well as mathematical chemistry. ... This is a nice book that will be useful for researchers working in this area and for those wanting to learn more about graph energy." (Sebastian M. Cioaba, Mathematical Reviews, April, 2013)

"The book under review provides a thorough introduction to the (mathematical side of the) subject and an almost complete overview of the state of the art in the area. ... this is a well written interesting and (currently) complete book on the (mathematical) theory of graph energy. It will be useful both as a reference work for researchers in the area of graph energy as well as an introduction to the topic for anyone interested." (Stefaan De Winter, Zentralblatt MATH, Vol. 1262, 2013)

Spis treści

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.