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The Harary Index of a Graph

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.

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Detail Information

Series Title

SpringerBriefs in Applied Sciences and Technology

Call Number

-

Publisher

Springer Berlin, Heidelberg : Springer Berlin, Heidelberg., 2015

Collation

XV, 74, 35 b/w illustrations

Language

English

ISBN/ISSN

978-3-662-45843-3

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

-

Edition

1

Subject(s)

Graph Theory, Discrete
Mathematics, Mathematical
Applications in Chemistry

Specific Detail Info

-

Statement of Responsibility

Authors Kexiang Xu, Kinkar Ch. Das, Nenad Trinajstić

Other Information

Cataloger

Suwardi

Source

https://link.springer.com/book/10.1007/978-3-662-45843-3

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