Weighted and Fuzzy Graph Theory - Couverture rigide

Mathew, Sunil; Mordeson, John N.; Binu, M.

Couverture rigide

ISBN 10 : 303139755X ISBN 13 : 9783031397554

Editeur : Springer International Publishing AG, 2023

Synopsis

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.

A propos du livre

À propos de l'auteur

¿Dr. John N Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B. S., M. S., and Ph. D from Iowa State University. He is a member of Phi Kappa Phi. He has published 20 books and over 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph. D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problems of climate change, human träcking, and biodiversity.

Dr. Sunil Mathew is a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Josephs College Devagiri, Calicut, and Ph. D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than 100 research papers and written ¿ve books. He is a member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.

Dr. Binu M received her Ph. D in 2019 from the Department of Mathematics, National Institute of Technology Calicut, India, in the area of Connectivity in Fuzzy Graph Theory. She is a faculty member at Cooperative Academy of Professional Education (CAPE) Kerala, India. Her present research includes fuzzy logic, graph theory and network science. Dr. Binu has published several research papers and co-authored a book.

À propos de la quatrième de couverture

One of the most preeminent ways of applying mathematics in real-world scenario modeling involves graph theory. A graph can be undirected or directed depending on whether the pairwise relationships among objects are symmetric or not. Nevertheless, in many real-world situations, representing a set of complex relational objects as directed or undirected is not su¢ cient. Weighted graphs o§er a framework that helps to over come certain conceptual limitations. We show using the concept of an isomorphism that weighted graphs have a natural connection to fuzzy graphs. As we show in the book, this allows results to be carried back and forth between weighted graphs and fuzzy graphs. This idea is in keeping with the important paper by Klement and Mesiar that shows that many families of fuzzy sets are lattice isomorphic to each other. We also outline the important work of Head and Weinberger that show how results from ordinary mathematics can be carried over to fuzzy mathematics. We focus on the concepts connectivity, degree sequences and saturation, and intervals and gates in weighted graphs.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 303139755X
• ISBN 13: 9783031397554
• Reliure: Relié
• Nombre de pages: 216
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne