Overview
- Provides tools for applying fuzzy mathematics and graph theory to real-life problems
- Includes rigorous mathematical proofs and examples for discussed topics
- Presents ample material for instructors to be able to select topics appropriate to their needs
- Appeals to postgraduate students, research scholars, and experts for a deeper study of fuzzy graph theory
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interestedin new developments in fuzzy logic and applied mathematics.
Authors and Affiliations
About the authors
MADHUMANGAL PAL is Professor at the Department of Applied Mathematics, Vidyasagar University, West Bengal, India. He completed his Ph.D. in Mathematics from the Indian Institute of Technology Kharagpur, India. His areas of research include algorithmic and fuzzy graph theory, fuzzy matrices, fuzzy algebra, genetic algorithms, and parallel algorithms. Under his supervision, 34 research scholars have completed their Ph.D. theses. An author of 10 books and over 330 research articles, Prof. Pal is the Editor-in-Chief of the Annals of Pure and Applied Mathematics and Journal of Physical Sciences and is on the editorial boards of several renowned national and international journals. He has completed three research projects funded by the University Grants Commission, the Department of Science and Technology, India, and is currently working on an ongoing project. He has delivered invited talks at seminars and conferences held in India and abroad, including the UK, Greece, China, Malaysia, Bangladesh, Hong Kong, UAE, and Thailand. Prof. Pal is a member of several academic bodies, viz. American Mathematical Society, Calcutta Mathematical Society, ADMA, Neutrosophic Science International Association, USA, Ramanujan Mathematical Society, etc. He is also a Course Coordinator of a MOOC.
SOVAN SAMANTA is Assistant Professor at the Department of Mathematics, Tamralipta Mahavidyalaya (affiliated to Vidyasagar University), West Bengal, India. Earlier, he served as an Assistant Professor at the Indian Institute of Information Technology Nagpur, India, and was a Postdoc Fellow at Hanyang University, Ansan, South Korea. He completed his Ph.D. in Fuzzy Graph Theory from Vidyasagar University, West Bengal, India, in 2014. His research interests include fuzzy graph theory, social networks, and various types of uncertain systems. His research papers on fuzzy graph theory have been published in journals of repute. He is also a subject Editor for the Journal of Applied Mathematics and Computing (SCIE indexed Springer journal) and is on editorial boards for several journals of repute.
Bibliographic Information
Book Title: Modern Trends in Fuzzy Graph Theory
Authors: Madhumangal Pal, Sovan Samanta, Ganesh Ghorai
DOI: https://doi.org/10.1007/978-981-15-8803-7
Publisher: Springer Singapore
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 Nature Singapore Pte Ltd. 2020
Hardcover ISBN: 978-981-15-8802-0Published: 03 November 2020
Softcover ISBN: 978-981-15-8805-1Published: 04 November 2021
eBook ISBN: 978-981-15-8803-7Published: 02 November 2020
Edition Number: 1
Number of Pages: XVI, 311
Number of Illustrations: 109 b/w illustrations, 14 illustrations in colour
Topics: Graph Theory