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Advanced Topics in Fuzzy Graph Theory

  • John N. Mordeson
  • Sunil Mathew

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 375)

Table of contents

  1. Front Matter
    Pages i-xv
  2. John N. Mordeson, Sunil Mathew
    Pages 1-13
  3. John N. Mordeson, Sunil Mathew
    Pages 15-54
  4. John N. Mordeson, Sunil Mathew
    Pages 55-91
  5. John N. Mordeson, Sunil Mathew
    Pages 93-126
  6. John N. Mordeson, Sunil Mathew
    Pages 127-175
  7. John N. Mordeson, Sunil Mathew
    Pages 177-196
  8. Back Matter
    Pages 197-209

About this book

Introduction

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to – and at the same time an inspiring read on – the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

Keywords

Average Connectivity Index T-connected Graphs Average Fuzzy Vertex Connectivity Models of Real World Situations Modeling Susceptibility of Routes to Trafficking T-Norm Fuzzy Graphs Fuzzy Geodetic Convex Sets Boundary and Interior Vertices

Authors and affiliations

  • John N. Mordeson
    • 1
  • Sunil Mathew
    • 2
  1. 1.Department of MathematicsCreighton UniversityOmahaUSA
  2. 2.Department of MathematicsNational Institute of TechnologyCalicutIndia

Bibliographic information