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.
Akram
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Chapter 1. Graphs under Neutrosophic Environment.- Chapter 2. Graph Structures under Neutrosophic Environment.- Chapter 3. Certain Bipolar Neutrosophic Graphs.- Chapter 4. Graphs under Interval-Valued Neutrosophic Environment.- Chapter 5. Interval-Valued Neutrosophic Graph Structures.- Chapter 6. Graphs under Neutrosophic Hybrid Models.- Chapter 7. Graphs under Neutrosophic Soft Environment.- Chapter 8. Neutrosophic Soft Rough Graphs.
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.
