Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Muhammad Akram
    Pages 1-81
  3. Muhammad Akram
    Pages 133-187
  4. Muhammad Akram
    Pages 213-237
  5. Muhammad Akram
    Pages 239-283
  6. Muhammad Akram
    Pages 285-327
  7. Muhammad Akram
    Pages 329-359
  8. Back Matter
    Pages 361-373

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.


Neutrosophic Environment Neutrosophic Graph Structures Bipolar Neutrosophic Graphs Interval-Valued Neutrosophic Graphs Rough Neutrosophic Digraphs Neutrosophic Soft Graphs

Authors and affiliations

  • Muhammad Akram
    • 1
  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-3521-1
  • Online ISBN 978-981-13-3522-8
  • Series Print ISSN 2363-6149
  • Series Online ISSN 2363-6157
  • Buy this book on publisher's site
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