Weighted and fuzzy graph theory / Sunil Mathew, John N. Mordeson, M. Binu.
Mathew, Sunil, author.; Mordeson, John N., author.; Binu, M. author.
2023
QA166
Available Online

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Title Weighted and fuzzy graph theory / Sunil Mathew, John N. Mordeson, M. Binu.
Author Mathew, Sunil, author.
ISBN 9783031397561 (electronic bk.)
3031397568 (electronic bk.)
9783031397554
303139755X
DOI https://doi.org/10.1007/978-3-031-39756-1
Published Cham : Springer, 2023.
Language English
Description 1 online resource (xvii, 216 pages) : illustrations.
Item Number 10.1007/978-3-031-39756-1 doi
Call Number QA166
Dewey Decimal Classification 511/.5
Summary 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 over 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.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 23, 2023).
Added Author Mordeson, John N., author.
Binu, M. author.
Series Studies in fuzziness and soft computing ; v. 429. 1860-0808
Available in Other Form Print version: 9783031397554
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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.

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