Modern Trends in Fuzzy Graph Theory

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. GANESH GHORAI is Assistant Professor at the Department of Applied Mathematics, Vidyasagar University, India. He received his Ph.D. in Mathematics from Vidyasagar University, India, in 2017, and M.Sc. in Mathematics from Indian Institute of Technology, Bombay, India, in 2011. He has published more than 30 research papers in international peer-reviewed journals on fuzzy graphs and related topics and is currently guiding 3 research scholars on their Ph.D. theses in the areas of graph theory, fuzzy graph theory, and fuzzy algebra. He has completed a research project funded by the University Grants Commission of India on fuzzy graph theory and is Deputy Coordinator of an ongoing project funded by Science and Engineering Research Board, Department of Science and Technology, Government of India (DST-SERB). He is a member of the Calcutta Mathematical Society,Kolkata, India, and several administrative and academic bodies in Vidyasagar University and other institutes.

1.Fundamentals of Fuzzy Graphs.- 2. Fuzzy Planar Graphs.- 3. Fuzzy Competition Graphs.- 4. Fuzzy Threshold Graphs.- 5. Fuzzy Tolerance Graphs.- 6. Bipolar Fuzzy Graphs.- 7. Intuitionistic Fuzzy graphs.- 8. Interval-valued Fuzzy Graphs.- 9. Application of Fuzzy Graphs.