The Harary Index of a Graph (SpringerBriefs in Applied Sciences and Technology)

Kexiang Xu, Kinkar Ch. Das, Nenad Trinajstic

ISBN 10: 366245842X / ISBN 13: 9783662458426

Published by Springer 2015-01-31, 2015

About this Item

Seller Inventory # 6666-IUK-9783662458426

Bibliographic Details

• Title: The Harary Index of a Graph (SpringerBriefs in Applied Sciences and Technology)
• Publisher: Springer 2015-01-31
• Publication Date: 2015
• Language: English
• ISBN 10: 366245842X
• ISBN 13: 9783662458426
• Binding: Paperback
• Condition: New

About this title

Synopsis

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.