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Single-Valued Neutrosophic Graphs

  • Book
  • © 2018

Overview

Authors:
  1. Muhammad Akram

    1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

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  • Addresses single-valued neutrosophic graphs and their applications
  • Explores the applications of neutrosophic graph structures in decision making
  • Discusses the notion of neutrosophic soft rough graphs

Part of the book series: Infosys Science Foundation Series (ISFS)

Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Graphs Under Neutrosophic Environment

    • Muhammad Akram
    Pages 1-81

  3. Graph Structures Under Neutrosophic Environment

    • Muhammad Akram
    Pages 83-132

  4. Certain Bipolar Neutrosophic Graphs

    • Muhammad Akram
    Pages 133-187

  5. Graphs Under Interval-Valued Neutrosophic Environment

    • Muhammad Akram
    Pages 189-212

  6. Interval-Valued Neutrosophic Graph Structures

    • Muhammad Akram
    Pages 213-237

  7. Graphs Under Neutrosophic Hybrid Models

    • Muhammad Akram
    Pages 239-283

  8. Graphs Under Neutrosophic Soft Environment

    • Muhammad Akram
    Pages 285-327

  9. Neutrosophic Soft Rough Graphs

    • Muhammad Akram
    Pages 329-359

  10. Back Matter

    Pages 361-373
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Keywords

About this book

This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued  neutrosophic graphs, energy of single-valued  neutrosophic graphs, bipolar single-valued  neutrosophic planar graphs, isomorphism of intuitionistic single-valued  neutrosophic soft graphs, and single-valued  neutrosophic soft rough graphs.


Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs.


Authors and Affiliations

  • Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Akram

About the author

MUHAMMAD AKRAM is a Professor at the Department of Mathematics, University of the Punjab, Lahore, Pakistan. He previously served at Punjab University College of Information Technology as an Assistant Professor and Associate Professor. He earned his Ph.D. in fuzzy mathematics from Government College University, Lahore, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published five books and over 265 research articles in peer-reviewed international journals, and supervised ten Ph.D. students.

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