Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Mathematical Methods (BRIEFSMATHMETH)
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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.
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Authors and Affiliations
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College of Science Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China
Kexiang Xu
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College of Science Department of Mathematics, Sungkyunkwan University, Gyeonggi-do, Korea, Republic of (South Korea)
Kinkar Ch. Das
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Rugjer Boskovic Institute, Zagreb, Croatia
Nenad Trinajstić
Bibliographic Information
Book Title: The Harary Index of a Graph
Authors: Kexiang Xu, Kinkar Ch. Das, Nenad Trinajstić
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-662-45843-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE, part of Springer Nature 2015
Softcover ISBN: 978-3-662-45842-6Published: 22 January 2015
eBook ISBN: 978-3-662-45843-3Published: 12 January 2015
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: XV, 74
Number of Illustrations: 35 b/w illustrations
Topics: Graph Theory, Combinatorics, Math. Applications in Chemistry