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Fuzzy Graph Theory

  • Sunil Mathew
  • John N. Mordeson
  • Davender S. Malik

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 363)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 1-12
  3. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 13-83
  4. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 85-125
  5. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 127-153
  6. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 155-194
  7. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 195-230
  8. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 231-269
  9. Sunil Mathew, John N. Mordeson, Davender S. Malik
    Pages 271-306
  10. Back Matter
    Pages 307-320

About this book

Introduction

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.

Keywords

Bipolar Fuzzy Graphs Interval Valued Fuzzy Graphs Operations of Fuzzy Graphs Vertex Connectivity Edge Connectivity Blocks in Fuzzy Graphs Saturation in Fuzzy Graphs Metrics in Fuzzy Graphs Cycle Connectivity Isomorphism on Fuzzy Graphs Fuzzy Cluster Fuzzy Decision Trees Fuzzy Group Menger’s Theorem Marczewski’s Theorem Comparability Graphs Gilmore and Hoffmann Characterization Fulkerson and Gross Characterization

Authors and affiliations

  • Sunil Mathew
    • 1
  • John N. Mordeson
    • 2
  • Davender S. Malik
    • 3
  1. 1.Bio-Computational and Cancer Research Laboratory, Department of MathematicsNational Institute of Technology CalicutKozhikodeIndia
  2. 2.Department of MathematicsCreighton UniversityOmahaUSA
  3. 3.Department of MathematicsCreighton UniversityOmahaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71407-3
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-71406-6
  • Online ISBN 978-3-319-71407-3
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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