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Fuzzy Graph Theory

✍ Scribed by Sunil Mathew,John N. Mordeson,Davender S. Malik (auth.)


Publisher
Springer International Publishing
Year
2018
Tongue
English
Leaves
331
Series
Studies in Fuzziness and Soft Computing 363
Edition
1
Category
Library

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✦ Synopsis


This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs.

Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.

✦ Table of Contents


Front Matter ....Pages i-xvii
Fuzzy Sets and Relations (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 1-12
Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 13-83
Connectivity in Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 85-125
More on Blocks in Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 127-153
More on Connectivity and Distances (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 155-194
Sequences, Saturation, Intervals and Gates in Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 195-230
Interval-Valued Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 231-269
Bipolar Fuzzy Graphs (Sunil Mathew, John N. Mordeson, Davender S. Malik)....Pages 271-306
Back Matter ....Pages 307-320

✦ Subjects


Computational Intelligence


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