Sunil Mathew: Weighted and Fuzzy Graph Theory

Cover: 9783031397554 | Weighted and Fuzzy Graph Theory | Sunil Mathew (u. a.) | Buch | xvii

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Beschreibung

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.

Zusammenfassung

The first book written solely on weighted graphs

A timely introduction to Weighted and Fuzzy Graph Theory

Some of the chapters are written exclusively for weighted graphs and weighted adaptations of fuzzy graph findings

Inhaltsverzeichnis

Graphs and Weighted Graphs.- Connectivity.- More on Connectivity.- Cycle Connectivity.- Distance and Convexity.- Degree Sequences and Saturation.- Intervals and Gates.- Weighted Graphs and Fuzzy Graphs.- Fuzzy Results from Crisp Results.

Details

Erscheinungsjahr:	2023
Fachbereich:	Technik allgemein
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Studies in Fuzziness and Soft Computing
Inhalt:	xvii 216 S. 92 s/w Illustr. 216 p. 92 illus.
ISBN-13:	9783031397554
ISBN-10:	303139755X
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Mathew, Sunil Binu, M. Mordeson, John N.
Hersteller:	Springer Nature Switzerland Springer International Publishing AG Studies in Fuzziness and Soft Computing
Maße:	241 x 160 x 18 mm
Von/Mit:	Sunil Mathew (u. a.)
Erscheinungsdatum:	21.08.2023
Gewicht:	0,567 kg