Weighted and Fuzzy Graph Theory

Sunil Mathew (u. a.)

ISBN 10: 3031397584 / ISBN 13: 9783031397585

Published by Springer, 2024

About this Item

Weighted and Fuzzy Graph Theory | Sunil Mathew (u. a.) | Taschenbuch | Studies in Fuzziness and Soft Computing | xvii | Englisch | 2024 | Springer | EAN 9783031397585 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 129973285

Bibliographic Details

• Title: Weighted and Fuzzy Graph Theory
• Publisher: Springer
• Publication Date: 2024
• Language: English
• ISBN 10: 3031397584
• ISBN 13: 9783031397585
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 13D millimeters 235 millimeters width by 155 millimeters height by 13 millimeters depth
• Weight: 365 grams
• Seller catalogs:
  • Bücher

About this title

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.