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SpringerBriefs in Mathematical Methods

The Harary Index of a Graph

Authors: Xu, Kexiang, Das, Kinkar Ch., Trinajstic, Nenad

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  • Reports practically all aspects of Harary index
  • Offers possible further work direction on the Harary index and Harary-like indices
  • A useful auxiliary reference for illustrating the use of mathematical tools in chemistry in various graduate courses
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-662-45843-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-662-45842-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This is the first book to focus on the topological index, the Harary index, of a graph, including its mathematical properties, chemical applications and some related and attractive open problems. This book is dedicated to Professor Frank Harary (1921—2005), the grandmaster of graph theory and its applications. It has be written by experts in the field of graph theory and its applications. For a connected graph G, as an important distance-based topological index, the Harary index H(G) is defined as the sum of the reciprocals of the distance between any two unordered vertices of the graph G. In this book, the authors report on the newest results on the Harary index of a graph. These results mainly concern external graphs with respect to the Harary index; the relations to other topological indices; its properties and applications to pure graph theory and chemical graph theory; and two significant variants, i.e., additively and multiplicatively weighted Harary indices. In the last chapter, we present a number of open problems related to the Harary index. As such, the book will not only be of interest to graph researchers, but to mathematical chemists as well.

Reviews

“The main purpose of this book is to survey the main concepts and results related to the Harary index of a graph. … Each of these chapters end up with a list of references including books, surveys and the most significant papers related to the topic. This book is a gift for the budding researchers related to the subjects mathematics, chemistry and biological sciences.” (P. Titus, zbMATH, Vol. 1365.05005, 2017) 


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-662-45843-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-662-45842-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Harary Index of a Graph
Authors
Series Title
SpringerBriefs in Mathematical Methods
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-662-45843-3
DOI
10.1007/978-3-662-45843-3
Softcover ISBN
978-3-662-45842-6
Series ISSN
2365-0826
Edition Number
1
Number of Pages
XV, 74
Number of Illustrations
35 b/w illustrations
Topics