Single-Valued Neutrosophic Graphs

Description

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. Front Matter ....Pages i-xxiv Graphs Under Neutrosophic Environment (Muhammad Akram)....Pages 1-81 Graph Structures Under Neutrosophic Environment (Muhammad Akram)....Pages 83-132 Certain Bipolar Neutrosophic Graphs (Muhammad Akram)....Pages 133-187 Graphs Under Interval-Valued Neutrosophic Environment (Muhammad Akram)....Pages 189-212 Interval-Valued Neutrosophic Graph Structures (Muhammad Akram)....Pages 213-237 Graphs Under Neutrosophic Hybrid Models (Muhammad Akram)....Pages 239-283 Graphs Under Neutrosophic Soft Environment (Muhammad Akram)....Pages 285-327 Neutrosophic Soft Rough Graphs (Muhammad Akram)....Pages 329-359 Back Matter ....Pages 361-373